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References

Published online by Cambridge University Press:  24 November 2009

Clifford V. Johnson
Clifford V. Johnson
Affiliation:
University of Durham
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D-Branes , pp. 510 - 528
Publisher: Cambridge University Press
Print publication year: 2002

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References

J. Polchinski, String Theory, Vols. 1 and 2; Cambridge University Press (1998) (Cambridge Monographs on Mathematical Physics)
J. Polchinski, S. Chaudhuri and C. V. Johnson, Notes on D-Branes, hep-th/ 9602052
C. V. Johnson, D-Brane primer, in TASI 1999, Strings, Branes and Gravity, World Scientific (2001), hep-th/0007170
C. V. Johnson, Etudes on D-branes, hep-th/9812196
M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory, Vols. 1 and 2; Cambridge University Press (1987) (Cambridge Monographs on Mathematical Physics)
This is an example: E. Kiritsis, Introduction to Superstring Theory, hep-th/ 9709062. Leuven University Press (1998) 315 pp. (Belgium) (Leuven Notes in Mathematical and Theoretical Physics, B9)
, A. Strominger and , C. Vafa, Phys. Lett. B379, 99 (1996), hep-th/9601029CrossRef
, J. Dai, , R. G. Leigh and , J. Polchinski, Mod. Phys. Lett. A4, 2073 (1989)CrossRef
, A. Chodos and , C. B. Thorn, Nucl. Phys. B72, 509 (1974); , W. Siegel, Nucl. Phys. B109, 244 (1976); , S. M. Roy and , V. Singh, Pramana 26, L85 (1986); Phys. Rev. D35, 1939 (1987); , J. A. Harvey and , J. A. Minahan, Phys. Lett. B188, 44 (1987)CrossRef
, N. Ishibashi and , T. Onogi, Nucl. Phys. B318, 239 (1989); , G. Pradisi and , A. Sagnotti, Phys. Lett. B216, 59 (1989); , A. Sagnotti, Phys. Rept. 184, 167 (1989); , P. Horava, Nucl. Phys. B327, 461 (1989)CrossRef
, J. H. Schwarz, Nucl. Phys. B65, 131 (1973); , E. F. Corrigan and , D. B. Fairlie, Nucl. Phys. B91, 527 (1975); , M. B. Green, Nucl. Phys. B103, 333 (1976); , M. B. Green and , J. A. Shapiro, Phys. Lett. 64B, 454 (1976); , A. Cohen, , G. Moore, , P. Nelson, and , J. Polchinski, Nucl. Phys. B267, 143 (1986); B281, 127 (1987)CrossRef
, M. Dine, , P. Huet, and , N. Seiberg, Nucl. Phys. B322, 301 (1989)CrossRef
, P. Horava, Phys. Lett. B231, 251 (1989); , M. B. Green, Phys. Lett. B266, 325 (1991)CrossRef
, K. Kikkawa and , M. Yamanaka, Phys. Lett. B149, 357 (1984); , N. Sakai and , I. Senda, Prog. Theor. Phys. 75, 692 (1986)CrossRef
, V. P. Nair, , A. Shapere, , A. Strominger, and , F. Wilczek, Nucl. Phys. B287, 402 (1987)CrossRef
, P. Ginsparg and , C. Vafa, Nucl. Phys. B289, 414 (1987)CrossRef
, T. H. Buscher, Phys. Lett. B194B, 59 (1987); B201, 466 (1988)
A. Sen, JHEP9806, 007 (1998), hep-th/9803194; JHEP9808, 010 (1998), hep-th/9805019; JHEP9808, 012 (1998), hep-th/9805170; JHEP9809, 023 (1998), hep-th/9808141; JHEP9810, 021 (1998), hep-th/9809111; Reviews can be found in: A. Sen, Non-BPS states and branes in string theory, hep-th/9904207; A. Lerda and R. Russo, Int. J. Mod. Phys. A15, 771 (2000), hep-th/9905006
, P. G. Freund and , M. A. Rubin, Phys. Lett. B 97, 233 (1980)CrossRef
, D. J. Gross, , J. A. Harvey, , E. Martinec and , R. Rohm, Phys. Rev. Lett. 54, 502 (1985); Nucl. Phys. B256, 253 (1985); Nucl. Phys. B267, 75 (1986)CrossRef
Two useful reviews are: J. H. Schwarz, TASI lectures on non-BPS D-brane systems, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/9908144; K. Olsen and R. Szabo, Constructing D–branes From K-theory, hep-th/9907140
, J. Paton and , Chan Hong–Mo, Nucl. Phys. B10, 519 (1969)
, L. Dixon, , J. A. Harvey, , C. Vafa and , E. Witten, Nucl. Phys. B261, 678 (1985)CrossRef
J. H. Schwarz, in Lattice Gauge Theory, Supersymmetry and Grand Unification, 233, Florence 1982, Phys. Rept. 89, 223 (1982); N. Marcus and A. Sagnotti, Phys. Lett.119B, 97 (1982)
J. Polchinski, Phys. Rev. D50, 6041 (1994), hep-th/9407031
E. Witten, Nucl. Phys. B460, 335 (1996), hep-th/9510135
A. Sagnotti, in Non-Perturbative Quantum Field Theory, eds. G. Mack et al. (Pergamon Press, 1988), 521; V. Periwal, unpublished; J. Govaerts, Phys. Lett. B220, 77 (1989)
A. Dabholkar, Lectures on orientifolds and duality, hep-th/9804208
S. P. de Alwis, A Note on Brane Tension and M Theory, hep-th/9607011
, C. Lovelace, Phys. Lett. B34, 500 (1971); , L. Clavelli and , J. Shapiro, Nucl. Phys. B57, 490 (1973); , M. Ademollo, , R. D' Auria, , F. Gliozzi, , E. Napolitano, , S. Sciuto, and , P. di Vecchia, Nucl. Phys. B94, 221 (1975); , C. G. Callan, , C. Lovelace, , C. R. Nappi, and , S. A. Yost, Nucl. Phys. B293, 83 (1987)CrossRef
, J. Polchinski and , Y. Cai, Nucl. Phys. B296, 91 (1988); , C. G. Callan, , C. Lovelace, , C. R. Nappi and , S. A. Yost, Nucl. Phys. B308, 221 (1988)CrossRef
, A. Abouelsaood, , C. G. Callan, , C. R. Nappi and , S. A. Yost, Nucl. Phys. B280, 599 (1987)CrossRef
This is a vast subject by now. Ref. [31], and the last of ref. [30] are some of the originals, but there are many more. Some good reviews are: P. Di Vecchia and A. Liccardo, D branes in string theory. I, hep-th/ 9912161; P. Di Vecchia and A. Liccardo, D-branes in string theory. II, hep-th/9912275. I. V. Vancea, Introductory lectures to D-branes, hep-th/ 0109029
Leigh, R. G., Mod. Phys. Lett. A4, 2767 (1989)CrossRef
, S. Coleman and , E. Weinberg, Phys. Rev. D7, 1888 (1973)
, J. Polchinski, Comm. Math. Phys. 104, 37 (1986)CrossRef
M. Douglas and B. Grinstein, Phys. Lett. B183, 552 (1987); (E) 187, 442 (1987); S. Weinberg, Phys. Lett. B187, 278 (1987); N. Marcus and A. Sagnotti, Phys. Lett. B188, 58 (1987)
See refs. [39, 40, 41]
C. Bachas, Phys. Lett. B374, 37 (1996), hep-th/9511043
C. Bachas, Lectures on D-branes, hep-th/9806199
E. Bergshoeff, M. de Roo, M. B. Green, G. Papadopoulos, and P. K. Townsend, Nucl. Phys. B470, 113 (1996), hep-th/9601150; E. Alvarez, J. L. F. Barbon, and J. Borlaf, Nucl. Phys. B479, 218 (1996), hep-th/ 9603089; E. Bergshoeff and M. De Roo, Phys. Lett. B380, 265 (1996), hep-th/9603123
, E. S. Fradkin and , A. A. Tseytlin, Phys. Lett. B163, 123 (1985)CrossRef
A. A. Tseytlin, Nucl. Phys. B501, 41 (1997), hep-th/9701125
See refs. [46, 47, 48, 49, 50]
See, for example, refs. [43, 46, 50, 51]
D. Brecher and M. J. Perry, Nucl. Phys. B527, 121 (1998), hep-th/9801127
D. Brecher, Phys. Lett. B442, 117 (1998), hep-th/9804180
M. R. Garousi and R. C. Myers, Nucl. Phys. B542, 73 (1999), hep-th/ 9809100
A. Hashimoto and W. I. Taylor, Nucl. Phys. B503, 193 (1997), hep-th/ 9703217; P. Bain, hep-th/9909154
A. A. Tseytlin, Born–Infeld action, supersymmetry and string theory, hep-th/9908105
R. C. Myers, JHEP9912, 022 (1999), hep-th/9910053
W. I. Taylor and M. Van Raamsdonk, Nucl. Phys. B573, 703 (2000), hep-th/9910052; Nucl. Phys. B558, 63 (1999), hep-th/9904095
There are many good treatments of anomalies. The field theory treatment should begin with a good modern text. See vol. 2 of ref. [54], vol. 2 of ref. [5], and: S. B. Treiman, E. Witten, R. Jackiw and B. Zumino, Current Algebra and Anomalies, World Scientific, Singapore (1985)
S. Weinberg, The Quantum Theory Of Fields, Vols. 1, 2, and 3, Cambridge University Press (2000) (Cambridge Monographs on Mathematical Physics)
See refs. [56, 57, 58, 59, 60]
G. W. Gibbons, Nucl. Phys. B514, 603 (1998), hep-th/9709027
C. G. Callan and J. M. Maldacena, Nucl. Phys. B513, 198 (1998), hep-th/ 9708147
P. S. Howe, N. D. Lambert and P. C. West, Nucl. Phys. B515, 203 (1998), hep-th/9709014; S. Lee, A. Peet and L. Thorlacius, Nucl. Phys. B514, 161 (1998), hep-th/9710097
R. Emparan, Phys. Lett. B423, 71 (1998), hep-th/9711106
J. P. Gauntlett, J. Gomis and P. K. Townsend, JHEP9801, 003 (1998), hep-th/9711205
, E. B. Bogomolny, Sov. J. Nucl. Phys. 24, 449 (1976)
, M. K. Prasad and , C. M. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)CrossRef
Two good books from which to learn this sort of construction are: J. Bagger and J. Wess, Supersymmetry and Supergravity, Princeton University Press, 1991; P. West, Introduction to Supersymmetry and Supergravity, World Scientific, Singapore, 1990
, E. Witten and , D. Olive, Phys. Lett. 78B, 97 (1978)
G. W. Gibbons, in Proc. Heisenberg Memorial Symp. 1981, eds. P. Breitenlohner and H. P. Dürr (Lecture notes in Physics160, Springer–Verlag 1982); G. W. Gibbons and C. M. Hull, Phys. Lett. B 109, 190 (1982)
, A. Papapetrou, Proc. R. Irish Acad. A51 (1947) 191; , S. D. Majumdar, Phys. Rev. 72, 930 (1947)
, C. Teitelboim, Phys. Lett. B 69, 240 (1977)CrossRef
G. W. Gibbons and P. K. Townsend, Phys. Rev. Lett. 71, 3754 (1993), hep-th/9307049
A useful review, with references, is: R. Kallosh, From Gravity to Supergravity, Lectures given at Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 97): Supersymmetry, Supergravity and Supercolliders, Boulder, CO, 1–7 June 1997
, J. A. Shapiro and , C. B. Thorn, Phys. Rev. D36, 432 (1987); , J. Dai and , J. Polchinski, Phys. Lett. B220, 387 (1989)
, F. Gliozzi, , J. Scherk and , D. Olive, Nucl. Phys. B122, 253 (1977); Phys. Lett. B65, 282 (1976)CrossRef
A. Strominger, Nucl. Phys. B343, 167 (1990); Erratum: ibid., 353, 565 (1991); S.-J. Rey, in Superstrings and Particle Theory: Proceedings, eds. L. Clavelli and B. Harms, (World Scientific, 1990); S.-J. Rey, Phys. Rev. D43, 526 (1991); I. Antoniades, C. Bachas, J. Ellis and D. Nanopoulos, Phys. Lett. B211, 393 (1988); ibid., Nucl. Phys. 328, 117 (1989); C. G. Callan, J. A. Harvey and A. Strominger, Nucl. Phys. B359, 611 (1991)
C. G. Callan, J. A. Harvey and A. Strominger, in Trieste 1991, String Theory and Quantum Gravity, hep-th/9112030
, D. Friedan, , E. Martinec, and , S. Shenker, Nucl. Phys. B271, 93 (1986)CrossRef
For example, see the conventions in: E. Bergshoeff, C. Hull and T. Ortin, Nucl. Phys. B451, 547 (1995), hep-th/9504081
M. B. Green, C. M. Hull and P. K. Townsend, Phys. Lett. B382, 65 (1996), hep-th/9604119
P. Meessen and T. Ortin, Nucl. Phys. B541, 195 (1999), hep-th/9806120
See refs. [79, 80, 81, 88, 89]
, D. N. Page, Phys. Lett. B80, 55 (1978)CrossRef
, M. A. Walton, Phys. Rev. D37, 377 (1988)CrossRef
A very useful reference for the properties of string theory on ALE spaces is: D. Anselmi, M. Billó, P. Fré, L. Girardello and A. Zaffaroni, Int. J. Mod. Phys. A9, 3007 (1994), hep-th/9304135
An excellent reference for various relevant geometrical facts is: T. Eguchi, P. B. Gilkey and A. J. Hanson, Gravitation, Gauge Theories And Differential Geometry, Phys. Rept. 66, 213 (1980)
, G. W. Gibbons and , S. W. Hawking, Commun. Math. Phys. 66, 291 (1979)CrossRef
, T. Eguchi and , A. J. Hanson, Ann. Phys. 120, 82 (1979)CrossRef
N. J. Hitchin, Polygons and gravitons, in Gibbons, G. W. (ed.), Hawking, S. W. (ed.): Euclidean quantum gravity, World Scientific (1993), pp. 527–538
F. Klein, Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade, Teubner, Leipzig 1884; F. Klein, Lectures on the Icosahedron and the Solution of an Equation of Fifth Degree, Dover, New York (1913)
J. Mckay, Proc. Symp. Pure Math. 37, 183 (1980), American Mathematical Society
, N. Seiberg, Nucl. Phys. B303, 286 (1988)CrossRef
P. S. Aspinwall and D. R. Morrison, String theory on K3 surfaces, in Greene, B. (ed.), Yau, S. T. (ed.): Mirror symmetry II* 703–716, hep-th/9404151
P. Aspinwall, K3 Surfaces and String Duality, in TASI 1996, World Scientific 1997, hep-th/9611137; Compactification, Geometry and Duality: N = 2, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/0001001
, G. W. Gibbons and , S. W. Hawking, Comm. Math. Phys. 66, 291 (1979)CrossRef
, M. K. Prasad, Phys. Lett. B83, 310 (1979)CrossRef
M. B. Green, Phys. Lett. B329, 435 (1994), hep-th/9403040
, G. T. Horowitz and , A. Strominger, Nucl. Phys. B360, 197 (1991)CrossRef
For a review of string solitons, see: M. J. Duff, Ramzi R. Khuri and J. X. Lu, String Solitons, Phys. Rept. 259, 213 (1995), hep-th/9412184
A. Strominger, Nucl. Phys. B451, 96 (1995), hep-th/9504090
, L. J. Romans, Phys. Lett. B169, 374 (1986)CrossRef
J. Polchinski and A. Strominger, Phys. Lett. B388, 736 (1996), hep-th/ 9510227
, M. B. Green, Phys. Lett. B69, 89 (1977); B201, 42 (1988); B282, 380 (1992)CrossRef
S. H. Shenker, The Strength of Non-Perturbative Effects in String Theory, in Cargese 1990, Proceedings: Random Surfaces and Quantum Gravity (1990), p. 191
T. Banks and L. Susskind, Brane–Anti-Brane Forces, hep-th/9511194
S. H. Shenker, Another Length Scale in String Theory?, hep-th/9509132
D. Kabat and P. Pouliot, Phys. Rev. Lett.77, 1004 (1996), hep-th/9603127; U. H. Danielsson, G. Ferretti and B. Sundborg, Int. J. Mod. Phys. A11, 5463 (1996), hep-th/9603081
M. R. Douglas, D. Kabat, P. Pouliot and S. H. Shenker, Nucl. Phys. B485, 85 (1997), hep-th/9608024
, W. Fischler and , L. Susskind, Phys. Lett. B171, 383 (1986); 173, 262 (1986)CrossRef
See refs. [102, 103, 104, 233, 234, 237,]
, M. B. Green and , J. H. Schwarz, Phys. Lett. B149, 117 (1984); B151, 21 (1985); Nucl. Phys. B255, 93 (1985)CrossRef
, M. B. Green and , J. H. Schwarz, Phys. Lett. B 136, 367 (1984); Nucl. Phys. B 243, 285 (1984)CrossRef
, M. B. Green, , J. H. Schwarz and , P. C. West, Nucl. Phys. B 254, 327 (1985)CrossRef
C. G. Callan and J. A. Harvey, Nucl. Phys. B250, 427 (1985); S. G. Naculich, Nucl. Phys. B296, 837 (1988); J. M. Izquierdo and P. K. Townsend, Nucl. Phys. B414, 93 (1994), hep-th/9307050; J. D. Blum and J. A. Harvey, Nucl. Phys. B416, 119 (1994), hep-th/9310035
M. B. Green, J. A. Harvey and G. Moore, Class. Quant. Grav. 14, 47 (1997), hep-th/9605033
Y. E. Cheung and Z. Yin, Nucl. Phys. B517, 69 (1998), hep-th/9710206
R. Minasian and G. Moore, JHEP9711, 002 (1997), hep-th/9710230; E. Witten, JHEP9812, 019 (1998), hep-th/9810188; P. Horava, Adv. Theor. Math. Phys. 2, 1373 (1999), hep-th/9812135; D. Diaconescu, G. Moore and E. Witten, hep-th/0005091 and hep-th/0005090
, R. I. Nepomechie, Phys. Rev. D31, 1921 (1985); , C. Teitelboim, Phys. Lett. B167, 63, 69 (1986)
M. Bershadsky, C. Vafa, and V. Sadov, Nucl. Phys. B463, 420 (1996), hep-th/9511222
M. Bershadsky, C. Vafa and V. Sadov, Nucl. Phys. B463, 398 (1996), hep-th/9510225
S. Katz and C. Vafa, Nucl. Phys. B497, 196 (1997), hep-th/9611090; S. Katz, A. Klemm and C. Vafa, Nucl. Phys. B497, 173 (1997), hep-th/ 9609239
M. Li, Nucl. Phys. B460, 351 (1996), hep-th/9510161
M. R. Douglas, Branes within Branes, hep-th/9512077
, A. A. Belavin, , A. M. Polyakov, , A. S. Shvarts and , Y. S. Tyupkin, Phys. Lett. B 59, 85 (1975)CrossRef
See also the very useful refs. [125, 124, 126, 127, 123]
K. Dasgupta, D. P. Jatkar and S. Mukhi, Nucl. Phys. B523, 465 (1998), hep-th/9707224
K. Dasgupta and S. Mukhi, JHEP9803, 004 (1998), hep-th/9709219. C. A. Scrucca and M. Serone, Nucl. Phys. B556, 197 (1199), hep-th/ 9903145
B. Craps and F. Roose, Phys. Lett. B445, 150 (1998), hep-th/9808074; B. Craps and F. Roose, Phys. Lett. B450, 358 (1999), hep-th/9812149
J. F. Morales, C. A. Scrucca and M. Serone, Nucl. Phys. B552, 291 (1999), hep-th/9812071; B. Stephanski, Nucl. Phys. B548, 275 (1999), hep-th/9812088
S. Mukhi and N. V. Suryanarayana, JHEP9909, 017 (1999), hep-th/ 9907215
J. F. Ospina Giraldo, Gravitational couplings for generalized orientifold planes, hep-th/0006076; Gravitational couplings for yGOp-planes, hep-th/ 0006149
C. P. Bachas, P. Bain and M. B. Green, JHEP9905, 011 (1999), hep-th/ 9903210
M. Berkooz, M. R. Douglas and R. G. Leigh, Nucl. Phys. B480, 265 (1996), hep-th/9606139
E. Witten, Nucl. Phys. B460, 541 (1996), hep-th/9511030
See refs. [132, 193, 192, 28, 195, 196]
E. G. Gimon and J. Polchinski, Phys. Rev. D54, 1667 (1996), hep-th/ 9601038
J. H. Schwarz, Phys. Lett.B360 13 (1995); (E) B364, 252 (1995), hep-th/ 9508143
P. S. Aspinwall, Nucl. Phys. Proc. Suppl. 46, 30 (1996), hep-th/9508154
J. H. Schwarz, Nucl. Phys. Proc. Suppl.55B, 1 (1997), hep-th/9607201
P. K. Townsend, M-theory from its superalgebra, hep-th/9712004
O. Aharony, J. Sonnenschein and S. Yankielowicz, Nucl. Phys. B474, 309 (1996), hep-th/9603009. M. R. Gaberdiel and B. Zwiebach, Nucl. Phys. B 518, 151 (1998), hep-th/9709013
A. Sen, JHEP9803, 005 (1998), hep-th/9711130
E. Witten, Nucl. Phys. B500, 3 (1997), hep-th/9703166
K. Dasgupta and S. Mukhi, Phys. Lett. B423, 261 (1998), hep-th/9711094
A. Sen, Phys. Rev. D54, 2964 (1996), hep-th/9510229
Here is a selection of papers in this topic: J. Froehlich and J. Hoppe, Commun. Math. Phys. 191, 613 (1998), hep-th/9701119; P. Yi, Nucl. Phys. B505, 307 (1997), hep-th/9704098; S. Sethi and M. Stern, Commun. Math. Phys. 194, 675 (1998), hep-th/9705046; M. Porrati and A. Rozenberg, Nucl. Phys. B515, 184 (1998), hep-th/9708119; M. B. Green and M. Gutperle, JHEP 9801, 005 (1998), hep-th/9711107; M. B. Halpern and C. Schwartz, Int. J. Mod. Phys. A13, 4367 (1998), hep-th/9712133; G. Moore, N. Nekrasov and S. Shatashvili, Commun. Math. Phys. 209, 77 (2000), hep-th/9803265; N. A. Nekrasov, On the size of a graviton, hep-th/ 9909213; S. Sethi and M. Stern, Adv. Theor. Math. Phys. 4, 487 (2000), hep-th/0001189
P. K. Townsend, Phys. Lett. B373, 68 (1996), hep-th/9512062
A. Sen, Phys. Rev. D53, 2874 (1996), hep-th/9511026
C. Vafa, Nucl. Phys. B463, 415 (1996), hep-th/9511088
S. Sethi and M. Stern, Phys. Lett. B398 47 (1997), hep-th/9607145; Nucl. Phys. B578, 163 (2000), hep-th/0002131
G. Papadopoulos and P. K. Townsend, Phys. Lett. B393, 59 (1997), hep-th/9609095
U. H. Danielsson and G. Ferretti, Int. J. Mod. Phys. A12, 4581 (1997), hep-th/9610082; S. Kachru and E. Silverstein, Phys. Lett. B396, 70 (1997), hep-th/9612162; D. Lowe, Nucl. Phys. B501, 134 (1997), hep-th/9702006; T. Banks, N. Seiberg and E. Silverstein, Phys. Lett. B401, 30 (1997), hep-th/ 9703052; T. Banks and L. Motl, JHEP12, 004 (1997), hep-th/9703218; D. Lowe, Phys. Lett. B403, 243 (1997), hep-th/9704041; S.-J. Rey, Nucl. Phys. B502, 170 (1997), hep-th/9704158
See refs. [151, 152, 153]. There are also excellent reviews available, some of which are listed in refs. [156, 135, 136]
C. M. Hull, Nucl. Phys. B468, 113 (1996), hep-th/9512181
C. M. Hull and P. K. Townsend, Nucl. Phys. B438, 109 (1995), hep-th/ 9410167
P. K. Townsend, Phys. Lett. B350, 184 (1995), hep-th/9501068
E. Witten, Nucl. Phys. B443, 85 (1995), hep-th/9503124
See for example refs. [170, 171, 143]
See refs. [170, 171, 143]
For other reviews, see: M. J. Duff, M-Theory (the Theory Formerly Known as Strings), Int. J. Mod. Phys. A11, 5623 (1996), hep-th/9608117; A. Sen, An Introduction to Non-perturbative String Theory, hep-th/9802051
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. D55, 5112 (1997), hep-th/9610043
For reviews, see: T. Banks, TASI lectures on matrix theory, in TASI 1999, Strings, Branes and Gravity, World Scientific (2001), hep-th/9911068. T. Banks, Matrix Theory, Nucl. Phys. Proc. Suppl. B67, 180 (1998), hep-th/9710231; D. Bigatti and L. Susskind, Review of Matrix Theory, hep-th/ 9712072; H. Nicolai and R. Helling, Supermembranes and M(atrix) Theory, hep-th/9809103; W. I. Taylor, The M(atrix) model of M-theory, hep-th/ 0002016; A. Bilal, M(atrix) theory: A pedagogical introduction, Fortsch. Phys. 47, 5 (1999), hep-th/9710136
, C. G. Callan, , J. A. Harvey, and , A. Strominger, Nucl. Phys. B367, 60 (1991)CrossRef
E. Witten, in the proceedings of Strings 95, USC, 1995, hep-th/9507121
P. S. Aspinwall, Phys. Lett. B 357, 329 (1995), hep-th/9507012
J. Polchinski and E. Witten, Nucl. Phys. B460, 525 (1996), hep-th/ 9510169
, A. Dabholkar and , J. A. Harvey, Phys. Rev. Lett. 63, 478 (1989); , A. Dabholkar, , G. Gibbons, , J. A. Harvey and , F. Ruiz Ruiz, Nucl. Phys. B340, 33 (1990)CrossRef
, A. Dabholkar, Phys. Lett. B357, 307 (1995); , C. M. Hull, Phys. Lett. B357, 545 (1995)CrossRef
C. V. Johnson, N. Kaloper, R. R. Khuri and R. C. Myers, Phys. Lett. B368, 71 (1996), hep-th/9509070
, E. Bergshoeff, , E. Sezgin and , P. K. Townsend, Phys. Lett. B189, 75 (1987); , M. J. Duff and , K. S. Stelle, Phys. Lett. B253, 113 (1991)CrossRef
, R. Güven, Phys. Lett. B276, 49 (1992)CrossRef
, R. Sorkin, Phys. Rev. Lett. 51, 87 (1983); , D. J. Gross and , M. J. Perry, Nucl. Phys. B226, 29 (1983)CrossRef
P. Horava and E. Witten, Nucl. Phys. B460, 506 (1996), hep-th/9510209
M. J. Duff and J. X. Lu, Nucl. Phys. B390, 276 (1993), hep-th/9207060; S. P. de Alwis and K. Sato, Phys. Rev. D53, 7187 (1996), hep-th/9601167; A. A. Tseytlin, Nucl. Phys. B469, 51 (1996), hep-th/9602064
C. Schmidhuber, Nucl. Phys. B467, 146 (1996), hep-th/9601003
K. Hori, Nucl. Phys. B539, 35 (1999), hep-th/9805141; K. Landsteiner and E. Lopez, Nucl. Phys. B516, 273 (1998), hep-th/9708118; E. Witten, JHEP9802, 006 (1998), hep-th/9712028; E. G. Gimon, On the M-theory interpretation of orientifold planes, hep-th/9806226; C. Ahn, H. Kim and H. S. Yang, Phys. Rev. D59, 106002 (1999), hep-th/9808182; S. Sethi, JHEP 9811, 003 (1998), hep-th/9809162; C. Ahn, H. Kim, B. Lee and H. S. Yang, Phys. Rev. D61, 066002 (2000), hep-th/9811010; A. Hanany, B. Kol and A. Rajaraman, JHEP9910, 027 (1999), hep-th/9909028; A. M. Uranga, JHEP0002, 041 (2000), hep-th/9912145; A. Hanany and B. Kol, JHEP0006, 013 (2000), hep-th/0003025
, K. S. Narain, Phys. Lett. 169B, 41 (1986)
, P. Ginsparg, Phys. Rev. D35, 648 (1987)
, K. S. Narain, , M. H. Sarmadi and , E. Witten, Nucl. Phys. B279, 369 (1987)CrossRef
B. Julia, in Supergravity and Superspace, ed. S. W. Hawking and M. Rocek (Cambridge University Press, Cambridge, 1981)
C. Vafa and E. Witten, Nucl. Phys. B431, 3 (1994), hep-th/9408074
C. Vafa, Nucl. Phys. B463, 435 (1996), hep-th/9512078
A. Strominger, Phys. Lett. B383, 44 (1996), hep-th/9512059
S. Sethi and L. Susskind, Phys. Lett. B 400, 265 (1997), hep-th/9702101
An excellent review can be found in D. R. Morrison, TASI Lectures on Compactification and Duality, in TASI 1999, Strings, Branes and Gravity, World Scientific (2001)
See refs. [132, 191, 194, 188]
, K. Kodaira, Ann. of Math. (2) 77, 563 (1963); ibid., 78 (1963) 1CrossRef
M. R. Douglas, J. Geom. Phys. 28, 255 (1998), hep-th/9604198
, L. Alvarez-Gaume and , D. Z. Freedman, Commun. Math. Phys. 80, 443 (1981)CrossRef
, S. W. Hawking, Phys. Lett. 60A 81, (1977)
J. Polchinski, Phys. Rev. D55, 6423 (1997), hep-th/9606165
M. R. Douglas and G. Moore, D-Branes, Quivers, and ALE Instantons, hep-th/9603167
, A. Hitchin, , A. Karlhede, , U. Lindstrom, and , M. Ročcek, Comm. Math. Phys. 108, 535 (1987)CrossRef
, P. Kronheimer, J. Diff. Geom. 28, 665 (1989); 29, 685 (1989)
C. V. Johnson and R. C. Myers, Phys. Rev. D55, 6382 (1997), hep-th/ 9610140
A. Dabholkar and J. Park, Nucl. Phys. B477, 701 (1996), hep-th/9604178; Nucl. Phys. B472, 207 (1996), hep-th/9602030
See also: G. Pradisi and A. Sagnotti, Phys. Lett. B216, 59 (1989); M. Bianchi and A. Sagnotti, Phys. Lett. B247, 517 (1990)
E. G. Gimon and C. V. Johnson, Nucl. Phys. B477, 715 (1996), hep-th/ 9604129
J. D. Blum, Nucl. Phys. B486, 34 (1997), hep-th/9608053; J. D. Blum and K. Intriligator, Nucl. Phys. B506, 223 (1997), hep-th/9705030; P. Berglund and E. Gimon, Nucl. Phys. B525, 73 (1998), hep-th/9803168; R. Blumenhagen, L. Gorlich and B. Kors, Nucl. Phys. B569, 209 (2000), hep-th/9908130
M. Berkooz, R. G. Leigh, J. Polchinski, J. H. Schwarz, N. Seiberg and E. Witten, Nucl. Phys. B475, 115 (1996), hep-th/9605184
A. Sen, Nucl. Phys. B475, 562 (1996), hep-th/9605150
K. Dasgupta and S. Mukhi, Phys. Lett. B385, 125 (1996), hep-th/9606044
C. Vafa, Nucl. Phys. B469, 403 (1996), hep-th/9602022
D. R. Morrison and C. Vafa, Nucl. Phys. B473, 74 (1996), hep-th/9602114; Nucl. Phys. B476, 437 (1996), hep-th/9603161
D. Diaconescu, M. R. Douglas and J. Gomis, JHEP 9802, 013 (1998), hep-th/9712230
K. Dasgupta and S. Mukhi, JHEP9907, 008 (1999), hep-th/9904131
H. Ooguri and C. Vafa, Nucl. Phys. B463, 55 (1996), hep-th/9511164
I. Brunner and A. Karch, JHEP9803, 003 (1998), hep-th/9712143; A. Karch, D. Lust and D. Smith, Nucl. Phys. B533, 348 (1998), hep-th/ 9803232; B. Andreas, G. Curio and D. Lust, JHEP9810, 022 (1998), hep-th/9807008
R. Gregory, J. A. Harvey and G. Moore, Adv. Theor. Math. Phys. 1, 283 (1997), hep-th/9708086
A. Hanany and E. Witten, Nucl. Phys. B492, 152 (1997), hep-th/9611230
E. Witten, J. Geom. Phys. 15, 215 (1995), hep-th/9410052
, M. F. Atiyah, , V. G. Drinfeld, , N. J. Hitchin, and , Y. I. Manin, Phys. Lett. A65, 185 (1978)CrossRef
D. Diaconescu, Nucl. Phys. B503, 220 (1997), hep-th/9608163
D. Tsimpis, Phys. Lett. B433, 287 (1998), hep-th/9804081
, S. K. Donaldson, Commun. Math. Phys. 96, 387 (1984)CrossRef
S. Elitzur, A. Giveon and D. Kutasov, Phys. Lett. B400, 269 (1997), hep-th/9702014; S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and A. Schwimmer, Nucl. Phys. B505, 202 (1997), hep-th/9704104
This is a useful review: A. Giveon and D. Kutasov, Brane dynamics and gauge theory, Rev. Mod. Phys. 71, 983 (1999), hep-th/9802067
, G. t'Hooft, Nucl. Phys. B79, 276 (1974); , A. M. Polyakov, JETP Lett. 20, 194 (1974)CrossRef
, B. Julia and , A. Zee, Phys. Rev. D11, 2227 (1975)
W. Nahm, The Construction Of All Selfdual Multi-Monopoles By The ADHM Method (Talk), in N. S. Craigie, P. Goddard and W. Nahm, Monopoles In Quantum Field Theory. Proceedings, Monopole Meeting, Trieste, Italy, December 11–15, 1981, World Scientific (1982)
For reviews, the appendix of ref. [232] is useful, and also: P. M. Sutcliffe, BPS monopoles, Int. J. Mod. Phys. A12, 4663 (1997), hep-th/9707009
, E. J. Weinberg, Phys. Rev. D20, 936 (1979); , W. Nahm, Phys. Lett. B85, 373 (1979)
H. Nakajima, Monopoles and Nahm's Equations, in Sanda 1990, Proceedings, Einstein metrics and Yang-Mills connections, pp. 193–211
A. Hashimoto, Phys. Rev. D57, 6441 (1998), hep-th/9711097
, J. Schwinger, Phys. Rev. 144, 1087 (1966); 173, 1536 (1968); , D. Zwanziger, Phys. Rev. 176, 1480, 1489 (1968); , B. Julia and , A. Zee, Phys. Rev. D11, 2227 (1974); , F. A. Bais and , J. R. Primak, Phys. Rev. D13, 819 (1975)CrossRef
, P. Fayet and , J. Iliopoulos, Phys. Lett. 51B, 461 (1974)
There are many good references. Some examples are: vol. 3 of ref. [54]; M. F. Sohnius, Phys. Rept. 128, 39 (1985)
, M. Melvin, Phys. Lett. 8, 65 (1963)
F. Dowker, J. P. Gauntlett, D. A. Kastor and J. Traschen, Phys. Rev. D 49, 2909 (1994), hep-th/9309075; F. Dowker, J. P. Gauntlett, G. W. Gibbons and G. T. Horowitz, Phys. Rev. D 52, 6929 (1995), hep-th/9507143; D53, 7115 (1996), hep-th/9512154
R. Emparan, Nucl. Phys. B 610, 169 (2001), hep-th/0105062; M. S. Costa, C. A. Herdeiro and L. Cornalba, Nucl. Phys. B 619, 155 (2001), hep-th/ 0105023; D. Brecher and P. M. Saffin, Nucl. Phys. B 613, 218 (2001), hep-th/0106206
H. E. Rauch and A. Lebowitz, Elliptic Functions, Theta Functions, and Riemann Surfaces, Williams and Wilkins (1973)
, N. Seiberg, Nucl. Phys. B303, 286 (1988)CrossRef
M. J. Duff, R. Minasian and E. Witten, Nucl. Phys. B 465, 413 (1996), hep-th/9601036
M. J. Duff, TASI lectures on branes, black holes and anti-de Sitter space, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/9912164
See refs. [232, 237, 248, 249]
M. F. Atiyah and N. J. Hitchin, Phys. Lett. A107, 21 (1985); Phil. Trans. R. Soc. Lond. A315, 459 (1985); The Geometry And Dynamics Of Magnetic Monopoles., M. B. Porter Lectures, Princeton University Press (1988)
G. Lifschytz, Phys. Lett. B388, 720 (1996), hep-th/9604156
M. Douglas, J. Polchinski and A. Strominger, JHEP9712, 003 (1997), hep-th/9703031
See refs. [237, 238, 248, 172]
See refs. [132, 193, 194, 192]
N. Seiberg, Phys. Lett. B384, 81 (1996), hep-th/9606017
A. Sen, JHEP9709, 001 (1997), hep-th/9707123; JHEP9710, 002 (1997) hep-th/9708002
C. V. Johnson, A. W. Peet and J. Polchinski, Phys. Rev. D61, 086001 (2000), hep-th/9911161
N. Seiberg and E. Witten, Nucl. Phys. B431, 484 (1994), hep-th/9408099; ibid.,B426 (1994) 19; Erratum: ibid., B430, 485 (1994), hep-th/9407087
M. R. Douglas and S. H. Shenker, Nucl. Phys. B447, 271 (1995), hep-th/ 9503163
R. R. Khuri, Phys. Lett. B294, 325 (1992), hep-th/9205051; Nucl. Phys. B387, 315 (1992), hep-th/9205081; J. P. Gauntlett, J. A. Harvey and J. T. Liu, Nucl. Phys. B409, 363 (1993), hep-th/9211056
M. Krogh, JHEP9912, 018 (1999), hep-th/9911084
The following has a nice discussion of the appearances of monopoles in string and gauge theory: A. Hanany and A. Zaffaroni, JHEP9912, 014 (1999), hep-th/9911113
L. Järv and C. V. Johnson, Phys. Rev. D62, 126010 (2000), hep-th/ 0002244
G. Chalmers and A. Hanany, Nucl. Phys. B489, 223 (1997), hep-th/ 9608105
N. S. Manton, Phys. Lett. B110, 54 (1982)
N. Seiberg and E. Witten, in Saclay 1996, The mathematical beauty of physics, hep-th/9607163
N. Dorey, V. V. Khoze, M. P. Mattis, D. Tong and S. Vandoren, Nucl. Phys. B502, 59 (1997), hep-th/9703228
, A. S. Dancer, Commun. Math. Phys. 158, 545 (1993)CrossRef
, G. W. Gibbons and , N. S. Manton, Nucl. Phys. B274, 183 (1986)CrossRef
, J. Madore, Class. Quant. Grav. 9, 69 (1992); Annals Phys. 219, 187 (1992); Phys. Lett. B263, 245 (1991)CrossRef
D. Kabat and W. I. Taylor, Adv. Theor. Math. Phys.2, 181 (1998, hep-th/ 9711078
S. Rey, Gravitating M(atrix) Q-balls, hep-th/9711081
, B. de Wit, , J. Hoppe and , H. Nicolai, Nucl. Phys. B305, 545 (1988)CrossRef
J. McGreevy, L. Susskind and N. Toumbas, JHEP0006, 008 (2000), hep-th/0003075; J. Polchinski and M. J. Strassler, hep-th/0003136
K. Behrndt, Nucl. Phys. B455, 188 (1995), hep-th/9506106; R. Kallosh and A. Linde, Phys. Rev. D52, 7137 (1995), hep-th/9507022; See also: M. Cvetič and D. Youm, Phys. Lett. B359, 87 (1995), hep-th/9507160
C. V. Johnson, Phys. Rev. D63, 065004 (2001), hep-th/0004068; Int. J. Mod. Phys. A 16, 990 (2001), hep-th/0011008 (talk at Strings 2000)
, W. Israel, Nuovo Cim. 44B, 1 (1966)
C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation, San Francisco, Freeman (1973)
, S. W. Hawking, Commun. Math. Phys. 43, 199 (1975)CrossRef
, J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973), Phys. Rev. D 9, 3292 (1974)CrossRef
G. T. Horowitz and J. Polchinski, Phys. Rev. D 55, 6189 (1997), hep-th/ 9612146
C. V. Johnson, R. C. Myers, A. W. Peet and S. F. Ross, Phys. Rev. D 64, 106001 (2001), hep-th/0105077
J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995), hep-th/9510017
M. Douglas, J. Polchinski and A. Strominger, JHEP9712, 003 (1997), hep-th/9703031
S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D 52, 5412 (1995), hep-th/9508072; S. Ferrara and R. Kallosh, Phys. Rev. D 54, 1514 (1996), hep-th/9602136; Phys. Rev. D 54, 1525 (1996), hep-th/9603090; S. Ferrara, G. W. Gibbons and R. Kallosh, Nucl. Phys. B 500, 75 (1997), hep-th/ 9702103
C. V. Johnson, R. R. Khuri and R. C. Myers, Phys. Lett. B 378, 78 (1996), hep-th/9603061; J. M. Maldacena and A. Strominger, Phys. Rev. Lett. 77, 428 (1996), hep-th/9603060; N. R. Constable, C. V. Johnson and R. C. Myers, JHEP0009, 039 (2000), hep-th/0008226; N. R. Constable, Phys. Rev. D 64, 104004 (2001), hep-th/0106038
C. G. Callan and J. M. Maldacena, Nucl. Phys. B 472, 591 (1996), hep-th/ 9602043; G. T. Horowitz and A. Strominger, Phys. Rev. Lett. 77, 2368 (1996), hep-th/9602051
J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1988), hep-th/9711200
E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998), hep-th/9802150
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 428, 105 (1998), hep-th/9802109
E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998), hep-th/9803131
This is a review: O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Phys. Rept. 323, 183 (2000), hep-th/9905111
Two very useful treatments are: P. Ginsparg, Applied Conformal Field Theory, Les Houches, France, June 28–Aug 5, 1988, eds. E. Brezin and J. Zinn-Justin, North-Holland, (1990); P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, New York, Springer (1997)
G. W. Gibbons and D. A. Rasheed, Phys. Lett. B 365, 46 (1996), hep-th/ 9509141. M. B. Green and M. Gutperle, Phys. Lett. B 377, 28 (1996), hep-th/9602077. A. A. Tseytlin, Nucl. Phys. B469, 51 (1996), hep-th/ 9602064
, C. Montonen and , D. I. Olive, Phys. Lett. B 72, 117 (1977)CrossRef
A. W. Peet, TASI lectures on black holes in string theory, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/0008241
, B. R. Greene, , A. D. Shapere, , C. Vafa and , S. T. Yau, Nucl. Phys. B 337, 1 (1990)CrossRef
L. Susskind, Another conjecture about M(atrix) theory, hep-th/9704080
, H. C. Pauli and , S. J. Brodsky, Phys. Rev. D 32, 1993 (1985)
W. I. Taylor, Phys. Lett. B 394, 283 (1997), hep-th/9611042; O. J. Ganor, S. Ramgoolam and W. I. Taylor, Nucl. Phys. B 492, 191 (1997), hep-th/ 9611202
L. Motl, hep-th/9701025. T. Banks and N. Seiberg, Nucl. Phys. B 497, 41 (1997), hep-th/9702187
R. Dijkgraaf, E. Verlinde and H. Verlinde, Nucl. Phys. B 500, 43 (1997), hep-th/9703030
For a review, see: R. Dijkgraaf, E. Verlinde and H. Verlinde, Nucl. Phys. Proc. Suppl. 62, 348 (1998), hep-th/9709107
G. 't Hooft, Dimensional Reduction In Quantum Gravity, gr-qc/9310026
L. Susskind, J. Math. Phys. 36, 6377 (1995), hep-th/9409089
, G. W. Gibbons and , S. W. Hawking, Phys. Rev. D 15, 2752 (1977); , G. W. Gibbons and , M. J. Perry, Proc. R. Soc. Lond. A 358, 467 (1978); , G. W. Gibbons, , S. W. Hawking and , M. J. Perry, Nucl. Phys. B 138, 141 (1978)
, J. M. Bardeen, , B. Carter and , S. W. Hawking, Commun. Math. Phys. 31, 161 (1973)CrossRef
S. W. Hawking and G. T. Horowitz, Class. Quant. Grav. 13, 1487 (1996) gr-qc/9501014
, S. W. Hawking and , D. N. Page, Commun. Math. Phys. 87, 577 (1983)CrossRef
An excellent reference for many matters of this nature is: R. M. Wald, General Relativity, Chicago University Press (1984), 491p
N. D. Birrell and P. C. Davies, Quantum Fields in Curved Space, Cambridge University Press (1982), 340p
S. Hyun, U-duality between three and higher dimensional black holes, hep-th/9704005
K. Sfetsos and K. Skenderis, Nucl. Phys. B 517, 179 (1998), hep-th/ 9711138
M. Bañados, C. Teitelboim and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992), hep-th/9204099
, J. D. Brown and , M. Henneaux, Commun. Math. Phys. 104, 207 (1986)CrossRef
O. Coussaert and M. Henneaux, Phys. Rev. Lett. 72, 183 (1994), hep-th/ 9310194
C. V. Johnson and R. C. Myers, Phys. Rev. D 64, 106002 (2001), hep-th/ 0105159
See the last reference in ref. [268], for the four dimensional version of this
, G. 't Hooft, Nucl. Phys. B 72, 461 (1974)CrossRef
, M. Gunaydin, , L. J. Romans and , N. P. Warner, Nucl. Phys. B 272, 598 (1986); Phys. Lett. B 154, 268 (1985); , M. Pernici, , K. Pilch and , P. van Nieuwenhuizen, Nucl. Phys. B 259, 460 (1985)CrossRef
, P. Breitenlohner and , D. Z. Freedman, Phys. Lett. B 115, 197 (1982)CrossRef
V. Balasubramanian and P. Kraus, Commun. Math. Phys. 208, 413 (1999), hep-th/9902121
S. R. Lau, Phys. Rev. D 60, 104034 (1999), gr-qc/9903038. R. B. Mann, Phys. Rev. D 60, 104047 (1999), hep-th/9903229
R. Emparan, C. V. Johnson and R. C. Myers, Phys. Rev. D 60, 104001 (1999), hep-th/9903238
G. T. Horowitz and S. F. Ross, JHEP9804, 015 (1998), hep-th/9803085
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Phys. Rev. D 60, 064018 (1999), hep-th/9902170
M. Cvetic and S. S. Gubser, JHEP9904, 024 (1999), hep-th/9902195
L. J. Romans, Nucl. Phys. B 383, 395 (1992), hep-th/9203018
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, T. A. Tran, Nucl. Phys. B 558, 96 (1999), hep-th/9903214
, R. C. Myers and , M. J. Perry, Annals Phys. 172, 304 (1986)CrossRef
P. Kraus, F. Larsen and S. P. Trivedi, JHEP9903, 003 (1999), hep-th/ 9811120
J. G. Russo, Nucl. Phys. B 543, 183 (1999), hep-th/9808117
L. Susskind and E. Witten, The holographic bound in anti-de Sitter space, hep-th/9805114
A very clear presentation of this sort of technology can be found in: P. K. Townsend, Phys. Lett. B 148, 55 (1984)
S. S. Gubser, Curvature singularities: The good, the bad, and the naked, hep-th/0002160
J. Babington, N. Evans and J. Hockings, JHEP0107, 034 (2001), hep-th/0105235
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, JHEP9812, 022 (1998), hep-th/9810126
J. Distler and F. Zamora, Adv. Theor. Math. Phys. 2, 1405 (1998), hep-th/ 9810206
C. V. Johnson, K. J. Lovis and D. C. Page, JHEP0105, 036 (2001), hep-th/0011166; JHEP0110, 014 (2001), hep-th/0107261
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999), hep-th/9904017
K. Pilch and N. P. Warner, N = 1 Supersymmetric Renormalization Group Flows from IIB Supergravity, hep-th/0006066
A. Khavaev, K. Pilch and N. P. Warner, Phys. Lett. B487, 14 (2000), hep-th/9812035
R. G. Leigh and M. J. Strassler, Nucl. Phys. B447, 95 (1995), hep-th/ 9503121
A. Karch, D. Lust and A. Miemiec, Phys. Lett. B 454, 265 (1999) hep-th/ 9901041
K. Pilch and N. P. Warner, Nucl. Phys. B 594, 209 (2001), hep-th/0004063
A. Brandhuber and K. Sfetsos, Phys. Lett. B 488, 373 (2000), hep-th/ 0004148
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, JHEP0007, 038 (2000), hep-th/9906194
I. Bakas and K. Sfetsos, Nucl. Phys. B 573, 768 (2000), hep-th/9909041
, M. A. Shifman and , A. I. Vainshtein, Nucl. Phys. B 277, 456 (1986) [Sov. Phys. JETP 64, 428 (1986)]; Nucl. Phys. B 359, 571 (1991)CrossRef
N. Evans, C. V. Johnson and M. Petrini, JHEP0010, 022 (2000), hep-th/ 0008081
A. Buchel, A. W. Peet and J. Polchinski, Phys. Rev. D 63, 044009 (2001), hep-th/0008076
L. Susskind, The quantum Hall fluid and non-commutative Chern Simons theory, hep-th/0101029; S. Hellerman and M. Van Raamsdonk, JHEP 0110, 039 (2001), hep-th/0103179; A. P. Polychronakos, JHEP0104, 011 (2001), hep-th/0103013; J. H. Brodie, L. Susskind and N. Toumbas, JHEP0102, 003 (2001), hep-th/0010105; O. Bergman, Y. Okawa and J. H. Brodie, JHEP0111, 019 (2001), hep-th/0107178; S. Hellerman and L. Susskind, Realizing the quantum Hall system in string theory, hep-th/0107200
N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B429, 263 (1998), hep-th/9803315; Phys. Rev. D59, 086004 (1999), hep-th/9807344. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B436, 257 (1998), hep-th/9804398
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999), hep-th/ 9905221; Phys. Rev. Lett. 83, 4690 (1999), hep-th/9906064
A. Sen and B. Zwiebach, JHEP0003:002 (2000), hep-th/9912249
A. Connes, M. R. Douglas and A. Schwarz, JHEP9802, 003 (1998), hep-th/9711162; M. R. Douglas and C. M. Hull, JHEP9802, 008 (1998), hep-th/9711165; C. S. Chu and P. M. Ho, Nucl. Phys. B 550, 151 (1999), hep-th/9812219; Nucl. Phys. B568, 447 (2000), hep-th/9906192; V. Schomerus, JHEP 9906, 030 (1999), hep-th/9903205; A. Y. Alekseev, A. Recknagel and V. Schomerus, JHEP9909, 023 (1999), hep-th/9908040; JHEP0005, 010 (2000), hep-th/0003187. N. Seiberg and E. Witten, JHEP9909, 032 (1999), hep-th/9908142
L. Alvarez-Gaumé and E. Witlen, Nucl. Phys. B234, 269 (1983)
D. Tong, JHEP0207, 013 (2002), hep-th/0204186
O. J. Ganor and A. Hanany, Nucl. Phys. B474, 122 (1996), hep-th/ 9602120
N. Ishibashi, H. Kawai, Y. Kitzawa and A. Tsuchiya, Nucl. Phys. B498, 467 (1997), hep-th/9612115
See also: P. Bain, ‘On the non-Abelian Born–Infeld action’, hep-th/ 9909154; F. Denef, A. Sevrin and J. Troost, Nucl. Phys. B581, 135 (2000), hep-th/0002180; A. Sevrin, J. Troost and W. Troost, Nucl. Phys. B603, 389 (2001), hep-th/0101192
M. Blau, J. Figueroa–O'Farrill, C. Hull and G. Papadopoulos, JHEP0201, 047 (2002), hep-th/0110242
M. Blau, J. Figueroa–O'Farrill, C. Hull and G. Papadopoulos, Class. Quant. Grav. 19, L87 (2002) hep-th/0201081
R. R. Metsaev, Nucl. Phys. B625, 70 (2002), hep-th/0112044
D. Berenstein, J. M. Maldacena and H. Nastase, JHEP0204, 013 (2002), hep-th/0202021
A. Adams, J. Polchinski and E. Silverstein, JHEP0110, 029 (2001), hep-th/ 0108075
J. A. Harvey, D. Kutasov, E. J. Martinec and G. Moore, Localized Tachyons and RG Flows, hep-th/0111154
J. Polchinski, String Theory, Vols. 1 and 2; Cambridge University Press (1998) (Cambridge Monographs on Mathematical Physics)
J. Polchinski, S. Chaudhuri and C. V. Johnson, Notes on D-Branes, hep-th/ 9602052
C. V. Johnson, D-Brane primer, in TASI 1999, Strings, Branes and Gravity, World Scientific (2001), hep-th/0007170
C. V. Johnson, Etudes on D-branes, hep-th/9812196
M. B. Green, J. H. Schwarz and E. Witten, Superstring Theory, Vols. 1 and 2; Cambridge University Press (1987) (Cambridge Monographs on Mathematical Physics)
This is an example: E. Kiritsis, Introduction to Superstring Theory, hep-th/ 9709062. Leuven University Press (1998) 315 pp. (Belgium) (Leuven Notes in Mathematical and Theoretical Physics, B9)
, A. Strominger and , C. Vafa, Phys. Lett. B379, 99 (1996), hep-th/9601029CrossRef
, J. Dai, , R. G. Leigh and , J. Polchinski, Mod. Phys. Lett. A4, 2073 (1989)CrossRef
, A. Chodos and , C. B. Thorn, Nucl. Phys. B72, 509 (1974); , W. Siegel, Nucl. Phys. B109, 244 (1976); , S. M. Roy and , V. Singh, Pramana 26, L85 (1986); Phys. Rev. D35, 1939 (1987); , J. A. Harvey and , J. A. Minahan, Phys. Lett. B188, 44 (1987)CrossRef
, N. Ishibashi and , T. Onogi, Nucl. Phys. B318, 239 (1989); , G. Pradisi and , A. Sagnotti, Phys. Lett. B216, 59 (1989); , A. Sagnotti, Phys. Rept. 184, 167 (1989); , P. Horava, Nucl. Phys. B327, 461 (1989)CrossRef
, J. H. Schwarz, Nucl. Phys. B65, 131 (1973); , E. F. Corrigan and , D. B. Fairlie, Nucl. Phys. B91, 527 (1975); , M. B. Green, Nucl. Phys. B103, 333 (1976); , M. B. Green and , J. A. Shapiro, Phys. Lett. 64B, 454 (1976); , A. Cohen, , G. Moore, , P. Nelson, and , J. Polchinski, Nucl. Phys. B267, 143 (1986); B281, 127 (1987)CrossRef
, M. Dine, , P. Huet, and , N. Seiberg, Nucl. Phys. B322, 301 (1989)CrossRef
, P. Horava, Phys. Lett. B231, 251 (1989); , M. B. Green, Phys. Lett. B266, 325 (1991)CrossRef
, K. Kikkawa and , M. Yamanaka, Phys. Lett. B149, 357 (1984); , N. Sakai and , I. Senda, Prog. Theor. Phys. 75, 692 (1986)CrossRef
, V. P. Nair, , A. Shapere, , A. Strominger, and , F. Wilczek, Nucl. Phys. B287, 402 (1987)CrossRef
, P. Ginsparg and , C. Vafa, Nucl. Phys. B289, 414 (1987)CrossRef
, T. H. Buscher, Phys. Lett. B194B, 59 (1987); B201, 466 (1988)
A. Sen, JHEP9806, 007 (1998), hep-th/9803194; JHEP9808, 010 (1998), hep-th/9805019; JHEP9808, 012 (1998), hep-th/9805170; JHEP9809, 023 (1998), hep-th/9808141; JHEP9810, 021 (1998), hep-th/9809111; Reviews can be found in: A. Sen, Non-BPS states and branes in string theory, hep-th/9904207; A. Lerda and R. Russo, Int. J. Mod. Phys. A15, 771 (2000), hep-th/9905006
, P. G. Freund and , M. A. Rubin, Phys. Lett. B 97, 233 (1980)CrossRef
, D. J. Gross, , J. A. Harvey, , E. Martinec and , R. Rohm, Phys. Rev. Lett. 54, 502 (1985); Nucl. Phys. B256, 253 (1985); Nucl. Phys. B267, 75 (1986)CrossRef
Two useful reviews are: J. H. Schwarz, TASI lectures on non-BPS D-brane systems, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/9908144; K. Olsen and R. Szabo, Constructing D–branes From K-theory, hep-th/9907140
, J. Paton and , Chan Hong–Mo, Nucl. Phys. B10, 519 (1969)
, L. Dixon, , J. A. Harvey, , C. Vafa and , E. Witten, Nucl. Phys. B261, 678 (1985)CrossRef
J. H. Schwarz, in Lattice Gauge Theory, Supersymmetry and Grand Unification, 233, Florence 1982, Phys. Rept. 89, 223 (1982); N. Marcus and A. Sagnotti, Phys. Lett.119B, 97 (1982)
J. Polchinski, Phys. Rev. D50, 6041 (1994), hep-th/9407031
E. Witten, Nucl. Phys. B460, 335 (1996), hep-th/9510135
A. Sagnotti, in Non-Perturbative Quantum Field Theory, eds. G. Mack et al. (Pergamon Press, 1988), 521; V. Periwal, unpublished; J. Govaerts, Phys. Lett. B220, 77 (1989)
A. Dabholkar, Lectures on orientifolds and duality, hep-th/9804208
S. P. de Alwis, A Note on Brane Tension and M Theory, hep-th/9607011
, C. Lovelace, Phys. Lett. B34, 500 (1971); , L. Clavelli and , J. Shapiro, Nucl. Phys. B57, 490 (1973); , M. Ademollo, , R. D' Auria, , F. Gliozzi, , E. Napolitano, , S. Sciuto, and , P. di Vecchia, Nucl. Phys. B94, 221 (1975); , C. G. Callan, , C. Lovelace, , C. R. Nappi, and , S. A. Yost, Nucl. Phys. B293, 83 (1987)CrossRef
, J. Polchinski and , Y. Cai, Nucl. Phys. B296, 91 (1988); , C. G. Callan, , C. Lovelace, , C. R. Nappi and , S. A. Yost, Nucl. Phys. B308, 221 (1988)CrossRef
, A. Abouelsaood, , C. G. Callan, , C. R. Nappi and , S. A. Yost, Nucl. Phys. B280, 599 (1987)CrossRef
This is a vast subject by now. Ref. [31], and the last of ref. [30] are some of the originals, but there are many more. Some good reviews are: P. Di Vecchia and A. Liccardo, D branes in string theory. I, hep-th/ 9912161; P. Di Vecchia and A. Liccardo, D-branes in string theory. II, hep-th/9912275. I. V. Vancea, Introductory lectures to D-branes, hep-th/ 0109029
Leigh, R. G., Mod. Phys. Lett. A4, 2767 (1989)CrossRef
, S. Coleman and , E. Weinberg, Phys. Rev. D7, 1888 (1973)
, J. Polchinski, Comm. Math. Phys. 104, 37 (1986)CrossRef
M. Douglas and B. Grinstein, Phys. Lett. B183, 552 (1987); (E) 187, 442 (1987); S. Weinberg, Phys. Lett. B187, 278 (1987); N. Marcus and A. Sagnotti, Phys. Lett. B188, 58 (1987)
See refs. [39, 40, 41]
C. Bachas, Phys. Lett. B374, 37 (1996), hep-th/9511043
C. Bachas, Lectures on D-branes, hep-th/9806199
E. Bergshoeff, M. de Roo, M. B. Green, G. Papadopoulos, and P. K. Townsend, Nucl. Phys. B470, 113 (1996), hep-th/9601150; E. Alvarez, J. L. F. Barbon, and J. Borlaf, Nucl. Phys. B479, 218 (1996), hep-th/ 9603089; E. Bergshoeff and M. De Roo, Phys. Lett. B380, 265 (1996), hep-th/9603123
, E. S. Fradkin and , A. A. Tseytlin, Phys. Lett. B163, 123 (1985)CrossRef
A. A. Tseytlin, Nucl. Phys. B501, 41 (1997), hep-th/9701125
See refs. [46, 47, 48, 49, 50]
See, for example, refs. [43, 46, 50, 51]
D. Brecher and M. J. Perry, Nucl. Phys. B527, 121 (1998), hep-th/9801127
D. Brecher, Phys. Lett. B442, 117 (1998), hep-th/9804180
M. R. Garousi and R. C. Myers, Nucl. Phys. B542, 73 (1999), hep-th/ 9809100
A. Hashimoto and W. I. Taylor, Nucl. Phys. B503, 193 (1997), hep-th/ 9703217; P. Bain, hep-th/9909154
A. A. Tseytlin, Born–Infeld action, supersymmetry and string theory, hep-th/9908105
R. C. Myers, JHEP9912, 022 (1999), hep-th/9910053
W. I. Taylor and M. Van Raamsdonk, Nucl. Phys. B573, 703 (2000), hep-th/9910052; Nucl. Phys. B558, 63 (1999), hep-th/9904095
There are many good treatments of anomalies. The field theory treatment should begin with a good modern text. See vol. 2 of ref. [54], vol. 2 of ref. [5], and: S. B. Treiman, E. Witten, R. Jackiw and B. Zumino, Current Algebra and Anomalies, World Scientific, Singapore (1985)
S. Weinberg, The Quantum Theory Of Fields, Vols. 1, 2, and 3, Cambridge University Press (2000) (Cambridge Monographs on Mathematical Physics)
See refs. [56, 57, 58, 59, 60]
G. W. Gibbons, Nucl. Phys. B514, 603 (1998), hep-th/9709027
C. G. Callan and J. M. Maldacena, Nucl. Phys. B513, 198 (1998), hep-th/ 9708147
P. S. Howe, N. D. Lambert and P. C. West, Nucl. Phys. B515, 203 (1998), hep-th/9709014; S. Lee, A. Peet and L. Thorlacius, Nucl. Phys. B514, 161 (1998), hep-th/9710097
R. Emparan, Phys. Lett. B423, 71 (1998), hep-th/9711106
J. P. Gauntlett, J. Gomis and P. K. Townsend, JHEP9801, 003 (1998), hep-th/9711205
, E. B. Bogomolny, Sov. J. Nucl. Phys. 24, 449 (1976)
, M. K. Prasad and , C. M. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)CrossRef
Two good books from which to learn this sort of construction are: J. Bagger and J. Wess, Supersymmetry and Supergravity, Princeton University Press, 1991; P. West, Introduction to Supersymmetry and Supergravity, World Scientific, Singapore, 1990
, E. Witten and , D. Olive, Phys. Lett. 78B, 97 (1978)
G. W. Gibbons, in Proc. Heisenberg Memorial Symp. 1981, eds. P. Breitenlohner and H. P. Dürr (Lecture notes in Physics160, Springer–Verlag 1982); G. W. Gibbons and C. M. Hull, Phys. Lett. B 109, 190 (1982)
, A. Papapetrou, Proc. R. Irish Acad. A51 (1947) 191; , S. D. Majumdar, Phys. Rev. 72, 930 (1947)
, C. Teitelboim, Phys. Lett. B 69, 240 (1977)CrossRef
G. W. Gibbons and P. K. Townsend, Phys. Rev. Lett. 71, 3754 (1993), hep-th/9307049
A useful review, with references, is: R. Kallosh, From Gravity to Supergravity, Lectures given at Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 97): Supersymmetry, Supergravity and Supercolliders, Boulder, CO, 1–7 June 1997
, J. A. Shapiro and , C. B. Thorn, Phys. Rev. D36, 432 (1987); , J. Dai and , J. Polchinski, Phys. Lett. B220, 387 (1989)
, F. Gliozzi, , J. Scherk and , D. Olive, Nucl. Phys. B122, 253 (1977); Phys. Lett. B65, 282 (1976)CrossRef
A. Strominger, Nucl. Phys. B343, 167 (1990); Erratum: ibid., 353, 565 (1991); S.-J. Rey, in Superstrings and Particle Theory: Proceedings, eds. L. Clavelli and B. Harms, (World Scientific, 1990); S.-J. Rey, Phys. Rev. D43, 526 (1991); I. Antoniades, C. Bachas, J. Ellis and D. Nanopoulos, Phys. Lett. B211, 393 (1988); ibid., Nucl. Phys. 328, 117 (1989); C. G. Callan, J. A. Harvey and A. Strominger, Nucl. Phys. B359, 611 (1991)
C. G. Callan, J. A. Harvey and A. Strominger, in Trieste 1991, String Theory and Quantum Gravity, hep-th/9112030
, D. Friedan, , E. Martinec, and , S. Shenker, Nucl. Phys. B271, 93 (1986)CrossRef
For example, see the conventions in: E. Bergshoeff, C. Hull and T. Ortin, Nucl. Phys. B451, 547 (1995), hep-th/9504081
M. B. Green, C. M. Hull and P. K. Townsend, Phys. Lett. B382, 65 (1996), hep-th/9604119
P. Meessen and T. Ortin, Nucl. Phys. B541, 195 (1999), hep-th/9806120
See refs. [79, 80, 81, 88, 89]
, D. N. Page, Phys. Lett. B80, 55 (1978)CrossRef
, M. A. Walton, Phys. Rev. D37, 377 (1988)CrossRef
A very useful reference for the properties of string theory on ALE spaces is: D. Anselmi, M. Billó, P. Fré, L. Girardello and A. Zaffaroni, Int. J. Mod. Phys. A9, 3007 (1994), hep-th/9304135
An excellent reference for various relevant geometrical facts is: T. Eguchi, P. B. Gilkey and A. J. Hanson, Gravitation, Gauge Theories And Differential Geometry, Phys. Rept. 66, 213 (1980)
, G. W. Gibbons and , S. W. Hawking, Commun. Math. Phys. 66, 291 (1979)CrossRef
, T. Eguchi and , A. J. Hanson, Ann. Phys. 120, 82 (1979)CrossRef
N. J. Hitchin, Polygons and gravitons, in Gibbons, G. W. (ed.), Hawking, S. W. (ed.): Euclidean quantum gravity, World Scientific (1993), pp. 527–538
F. Klein, Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade, Teubner, Leipzig 1884; F. Klein, Lectures on the Icosahedron and the Solution of an Equation of Fifth Degree, Dover, New York (1913)
J. Mckay, Proc. Symp. Pure Math. 37, 183 (1980), American Mathematical Society
, N. Seiberg, Nucl. Phys. B303, 286 (1988)CrossRef
P. S. Aspinwall and D. R. Morrison, String theory on K3 surfaces, in Greene, B. (ed.), Yau, S. T. (ed.): Mirror symmetry II* 703–716, hep-th/9404151
P. Aspinwall, K3 Surfaces and String Duality, in TASI 1996, World Scientific 1997, hep-th/9611137; Compactification, Geometry and Duality: N = 2, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/0001001
, G. W. Gibbons and , S. W. Hawking, Comm. Math. Phys. 66, 291 (1979)CrossRef
, M. K. Prasad, Phys. Lett. B83, 310 (1979)CrossRef
M. B. Green, Phys. Lett. B329, 435 (1994), hep-th/9403040
, G. T. Horowitz and , A. Strominger, Nucl. Phys. B360, 197 (1991)CrossRef
For a review of string solitons, see: M. J. Duff, Ramzi R. Khuri and J. X. Lu, String Solitons, Phys. Rept. 259, 213 (1995), hep-th/9412184
A. Strominger, Nucl. Phys. B451, 96 (1995), hep-th/9504090
, L. J. Romans, Phys. Lett. B169, 374 (1986)CrossRef
J. Polchinski and A. Strominger, Phys. Lett. B388, 736 (1996), hep-th/ 9510227
, M. B. Green, Phys. Lett. B69, 89 (1977); B201, 42 (1988); B282, 380 (1992)CrossRef
S. H. Shenker, The Strength of Non-Perturbative Effects in String Theory, in Cargese 1990, Proceedings: Random Surfaces and Quantum Gravity (1990), p. 191
T. Banks and L. Susskind, Brane–Anti-Brane Forces, hep-th/9511194
S. H. Shenker, Another Length Scale in String Theory?, hep-th/9509132
D. Kabat and P. Pouliot, Phys. Rev. Lett.77, 1004 (1996), hep-th/9603127; U. H. Danielsson, G. Ferretti and B. Sundborg, Int. J. Mod. Phys. A11, 5463 (1996), hep-th/9603081
M. R. Douglas, D. Kabat, P. Pouliot and S. H. Shenker, Nucl. Phys. B485, 85 (1997), hep-th/9608024
, W. Fischler and , L. Susskind, Phys. Lett. B171, 383 (1986); 173, 262 (1986)CrossRef
See refs. [102, 103, 104, 233, 234, 237,]
, M. B. Green and , J. H. Schwarz, Phys. Lett. B149, 117 (1984); B151, 21 (1985); Nucl. Phys. B255, 93 (1985)CrossRef
, M. B. Green and , J. H. Schwarz, Phys. Lett. B 136, 367 (1984); Nucl. Phys. B 243, 285 (1984)CrossRef
, M. B. Green, , J. H. Schwarz and , P. C. West, Nucl. Phys. B 254, 327 (1985)CrossRef
C. G. Callan and J. A. Harvey, Nucl. Phys. B250, 427 (1985); S. G. Naculich, Nucl. Phys. B296, 837 (1988); J. M. Izquierdo and P. K. Townsend, Nucl. Phys. B414, 93 (1994), hep-th/9307050; J. D. Blum and J. A. Harvey, Nucl. Phys. B416, 119 (1994), hep-th/9310035
M. B. Green, J. A. Harvey and G. Moore, Class. Quant. Grav. 14, 47 (1997), hep-th/9605033
Y. E. Cheung and Z. Yin, Nucl. Phys. B517, 69 (1998), hep-th/9710206
R. Minasian and G. Moore, JHEP9711, 002 (1997), hep-th/9710230; E. Witten, JHEP9812, 019 (1998), hep-th/9810188; P. Horava, Adv. Theor. Math. Phys. 2, 1373 (1999), hep-th/9812135; D. Diaconescu, G. Moore and E. Witten, hep-th/0005091 and hep-th/0005090
, R. I. Nepomechie, Phys. Rev. D31, 1921 (1985); , C. Teitelboim, Phys. Lett. B167, 63, 69 (1986)
M. Bershadsky, C. Vafa, and V. Sadov, Nucl. Phys. B463, 420 (1996), hep-th/9511222
M. Bershadsky, C. Vafa and V. Sadov, Nucl. Phys. B463, 398 (1996), hep-th/9510225
S. Katz and C. Vafa, Nucl. Phys. B497, 196 (1997), hep-th/9611090; S. Katz, A. Klemm and C. Vafa, Nucl. Phys. B497, 173 (1997), hep-th/ 9609239
M. Li, Nucl. Phys. B460, 351 (1996), hep-th/9510161
M. R. Douglas, Branes within Branes, hep-th/9512077
, A. A. Belavin, , A. M. Polyakov, , A. S. Shvarts and , Y. S. Tyupkin, Phys. Lett. B 59, 85 (1975)CrossRef
See also the very useful refs. [125, 124, 126, 127, 123]
K. Dasgupta, D. P. Jatkar and S. Mukhi, Nucl. Phys. B523, 465 (1998), hep-th/9707224
K. Dasgupta and S. Mukhi, JHEP9803, 004 (1998), hep-th/9709219. C. A. Scrucca and M. Serone, Nucl. Phys. B556, 197 (1199), hep-th/ 9903145
B. Craps and F. Roose, Phys. Lett. B445, 150 (1998), hep-th/9808074; B. Craps and F. Roose, Phys. Lett. B450, 358 (1999), hep-th/9812149
J. F. Morales, C. A. Scrucca and M. Serone, Nucl. Phys. B552, 291 (1999), hep-th/9812071; B. Stephanski, Nucl. Phys. B548, 275 (1999), hep-th/9812088
S. Mukhi and N. V. Suryanarayana, JHEP9909, 017 (1999), hep-th/ 9907215
J. F. Ospina Giraldo, Gravitational couplings for generalized orientifold planes, hep-th/0006076; Gravitational couplings for yGOp-planes, hep-th/ 0006149
C. P. Bachas, P. Bain and M. B. Green, JHEP9905, 011 (1999), hep-th/ 9903210
M. Berkooz, M. R. Douglas and R. G. Leigh, Nucl. Phys. B480, 265 (1996), hep-th/9606139
E. Witten, Nucl. Phys. B460, 541 (1996), hep-th/9511030
See refs. [132, 193, 192, 28, 195, 196]
E. G. Gimon and J. Polchinski, Phys. Rev. D54, 1667 (1996), hep-th/ 9601038
J. H. Schwarz, Phys. Lett.B360 13 (1995); (E) B364, 252 (1995), hep-th/ 9508143
P. S. Aspinwall, Nucl. Phys. Proc. Suppl. 46, 30 (1996), hep-th/9508154
J. H. Schwarz, Nucl. Phys. Proc. Suppl.55B, 1 (1997), hep-th/9607201
P. K. Townsend, M-theory from its superalgebra, hep-th/9712004
O. Aharony, J. Sonnenschein and S. Yankielowicz, Nucl. Phys. B474, 309 (1996), hep-th/9603009. M. R. Gaberdiel and B. Zwiebach, Nucl. Phys. B 518, 151 (1998), hep-th/9709013
A. Sen, JHEP9803, 005 (1998), hep-th/9711130
E. Witten, Nucl. Phys. B500, 3 (1997), hep-th/9703166
K. Dasgupta and S. Mukhi, Phys. Lett. B423, 261 (1998), hep-th/9711094
A. Sen, Phys. Rev. D54, 2964 (1996), hep-th/9510229
Here is a selection of papers in this topic: J. Froehlich and J. Hoppe, Commun. Math. Phys. 191, 613 (1998), hep-th/9701119; P. Yi, Nucl. Phys. B505, 307 (1997), hep-th/9704098; S. Sethi and M. Stern, Commun. Math. Phys. 194, 675 (1998), hep-th/9705046; M. Porrati and A. Rozenberg, Nucl. Phys. B515, 184 (1998), hep-th/9708119; M. B. Green and M. Gutperle, JHEP 9801, 005 (1998), hep-th/9711107; M. B. Halpern and C. Schwartz, Int. J. Mod. Phys. A13, 4367 (1998), hep-th/9712133; G. Moore, N. Nekrasov and S. Shatashvili, Commun. Math. Phys. 209, 77 (2000), hep-th/9803265; N. A. Nekrasov, On the size of a graviton, hep-th/ 9909213; S. Sethi and M. Stern, Adv. Theor. Math. Phys. 4, 487 (2000), hep-th/0001189
P. K. Townsend, Phys. Lett. B373, 68 (1996), hep-th/9512062
A. Sen, Phys. Rev. D53, 2874 (1996), hep-th/9511026
C. Vafa, Nucl. Phys. B463, 415 (1996), hep-th/9511088
S. Sethi and M. Stern, Phys. Lett. B398 47 (1997), hep-th/9607145; Nucl. Phys. B578, 163 (2000), hep-th/0002131
G. Papadopoulos and P. K. Townsend, Phys. Lett. B393, 59 (1997), hep-th/9609095
U. H. Danielsson and G. Ferretti, Int. J. Mod. Phys. A12, 4581 (1997), hep-th/9610082; S. Kachru and E. Silverstein, Phys. Lett. B396, 70 (1997), hep-th/9612162; D. Lowe, Nucl. Phys. B501, 134 (1997), hep-th/9702006; T. Banks, N. Seiberg and E. Silverstein, Phys. Lett. B401, 30 (1997), hep-th/ 9703052; T. Banks and L. Motl, JHEP12, 004 (1997), hep-th/9703218; D. Lowe, Phys. Lett. B403, 243 (1997), hep-th/9704041; S.-J. Rey, Nucl. Phys. B502, 170 (1997), hep-th/9704158
See refs. [151, 152, 153]. There are also excellent reviews available, some of which are listed in refs. [156, 135, 136]
C. M. Hull, Nucl. Phys. B468, 113 (1996), hep-th/9512181
C. M. Hull and P. K. Townsend, Nucl. Phys. B438, 109 (1995), hep-th/ 9410167
P. K. Townsend, Phys. Lett. B350, 184 (1995), hep-th/9501068
E. Witten, Nucl. Phys. B443, 85 (1995), hep-th/9503124
See for example refs. [170, 171, 143]
See refs. [170, 171, 143]
For other reviews, see: M. J. Duff, M-Theory (the Theory Formerly Known as Strings), Int. J. Mod. Phys. A11, 5623 (1996), hep-th/9608117; A. Sen, An Introduction to Non-perturbative String Theory, hep-th/9802051
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, Phys. Rev. D55, 5112 (1997), hep-th/9610043
For reviews, see: T. Banks, TASI lectures on matrix theory, in TASI 1999, Strings, Branes and Gravity, World Scientific (2001), hep-th/9911068. T. Banks, Matrix Theory, Nucl. Phys. Proc. Suppl. B67, 180 (1998), hep-th/9710231; D. Bigatti and L. Susskind, Review of Matrix Theory, hep-th/ 9712072; H. Nicolai and R. Helling, Supermembranes and M(atrix) Theory, hep-th/9809103; W. I. Taylor, The M(atrix) model of M-theory, hep-th/ 0002016; A. Bilal, M(atrix) theory: A pedagogical introduction, Fortsch. Phys. 47, 5 (1999), hep-th/9710136
, C. G. Callan, , J. A. Harvey, and , A. Strominger, Nucl. Phys. B367, 60 (1991)CrossRef
E. Witten, in the proceedings of Strings 95, USC, 1995, hep-th/9507121
P. S. Aspinwall, Phys. Lett. B 357, 329 (1995), hep-th/9507012
J. Polchinski and E. Witten, Nucl. Phys. B460, 525 (1996), hep-th/ 9510169
, A. Dabholkar and , J. A. Harvey, Phys. Rev. Lett. 63, 478 (1989); , A. Dabholkar, , G. Gibbons, , J. A. Harvey and , F. Ruiz Ruiz, Nucl. Phys. B340, 33 (1990)CrossRef
, A. Dabholkar, Phys. Lett. B357, 307 (1995); , C. M. Hull, Phys. Lett. B357, 545 (1995)CrossRef
C. V. Johnson, N. Kaloper, R. R. Khuri and R. C. Myers, Phys. Lett. B368, 71 (1996), hep-th/9509070
, E. Bergshoeff, , E. Sezgin and , P. K. Townsend, Phys. Lett. B189, 75 (1987); , M. J. Duff and , K. S. Stelle, Phys. Lett. B253, 113 (1991)CrossRef
, R. Güven, Phys. Lett. B276, 49 (1992)CrossRef
, R. Sorkin, Phys. Rev. Lett. 51, 87 (1983); , D. J. Gross and , M. J. Perry, Nucl. Phys. B226, 29 (1983)CrossRef
P. Horava and E. Witten, Nucl. Phys. B460, 506 (1996), hep-th/9510209
M. J. Duff and J. X. Lu, Nucl. Phys. B390, 276 (1993), hep-th/9207060; S. P. de Alwis and K. Sato, Phys. Rev. D53, 7187 (1996), hep-th/9601167; A. A. Tseytlin, Nucl. Phys. B469, 51 (1996), hep-th/9602064
C. Schmidhuber, Nucl. Phys. B467, 146 (1996), hep-th/9601003
K. Hori, Nucl. Phys. B539, 35 (1999), hep-th/9805141; K. Landsteiner and E. Lopez, Nucl. Phys. B516, 273 (1998), hep-th/9708118; E. Witten, JHEP9802, 006 (1998), hep-th/9712028; E. G. Gimon, On the M-theory interpretation of orientifold planes, hep-th/9806226; C. Ahn, H. Kim and H. S. Yang, Phys. Rev. D59, 106002 (1999), hep-th/9808182; S. Sethi, JHEP 9811, 003 (1998), hep-th/9809162; C. Ahn, H. Kim, B. Lee and H. S. Yang, Phys. Rev. D61, 066002 (2000), hep-th/9811010; A. Hanany, B. Kol and A. Rajaraman, JHEP9910, 027 (1999), hep-th/9909028; A. M. Uranga, JHEP0002, 041 (2000), hep-th/9912145; A. Hanany and B. Kol, JHEP0006, 013 (2000), hep-th/0003025
, K. S. Narain, Phys. Lett. 169B, 41 (1986)
, P. Ginsparg, Phys. Rev. D35, 648 (1987)
, K. S. Narain, , M. H. Sarmadi and , E. Witten, Nucl. Phys. B279, 369 (1987)CrossRef
B. Julia, in Supergravity and Superspace, ed. S. W. Hawking and M. Rocek (Cambridge University Press, Cambridge, 1981)
C. Vafa and E. Witten, Nucl. Phys. B431, 3 (1994), hep-th/9408074
C. Vafa, Nucl. Phys. B463, 435 (1996), hep-th/9512078
A. Strominger, Phys. Lett. B383, 44 (1996), hep-th/9512059
S. Sethi and L. Susskind, Phys. Lett. B 400, 265 (1997), hep-th/9702101
An excellent review can be found in D. R. Morrison, TASI Lectures on Compactification and Duality, in TASI 1999, Strings, Branes and Gravity, World Scientific (2001)
See refs. [132, 191, 194, 188]
, K. Kodaira, Ann. of Math. (2) 77, 563 (1963); ibid., 78 (1963) 1CrossRef
M. R. Douglas, J. Geom. Phys. 28, 255 (1998), hep-th/9604198
, L. Alvarez-Gaume and , D. Z. Freedman, Commun. Math. Phys. 80, 443 (1981)CrossRef
, S. W. Hawking, Phys. Lett. 60A 81, (1977)
J. Polchinski, Phys. Rev. D55, 6423 (1997), hep-th/9606165
M. R. Douglas and G. Moore, D-Branes, Quivers, and ALE Instantons, hep-th/9603167
, A. Hitchin, , A. Karlhede, , U. Lindstrom, and , M. Ročcek, Comm. Math. Phys. 108, 535 (1987)CrossRef
, P. Kronheimer, J. Diff. Geom. 28, 665 (1989); 29, 685 (1989)
C. V. Johnson and R. C. Myers, Phys. Rev. D55, 6382 (1997), hep-th/ 9610140
A. Dabholkar and J. Park, Nucl. Phys. B477, 701 (1996), hep-th/9604178; Nucl. Phys. B472, 207 (1996), hep-th/9602030
See also: G. Pradisi and A. Sagnotti, Phys. Lett. B216, 59 (1989); M. Bianchi and A. Sagnotti, Phys. Lett. B247, 517 (1990)
E. G. Gimon and C. V. Johnson, Nucl. Phys. B477, 715 (1996), hep-th/ 9604129
J. D. Blum, Nucl. Phys. B486, 34 (1997), hep-th/9608053; J. D. Blum and K. Intriligator, Nucl. Phys. B506, 223 (1997), hep-th/9705030; P. Berglund and E. Gimon, Nucl. Phys. B525, 73 (1998), hep-th/9803168; R. Blumenhagen, L. Gorlich and B. Kors, Nucl. Phys. B569, 209 (2000), hep-th/9908130
M. Berkooz, R. G. Leigh, J. Polchinski, J. H. Schwarz, N. Seiberg and E. Witten, Nucl. Phys. B475, 115 (1996), hep-th/9605184
A. Sen, Nucl. Phys. B475, 562 (1996), hep-th/9605150
K. Dasgupta and S. Mukhi, Phys. Lett. B385, 125 (1996), hep-th/9606044
C. Vafa, Nucl. Phys. B469, 403 (1996), hep-th/9602022
D. R. Morrison and C. Vafa, Nucl. Phys. B473, 74 (1996), hep-th/9602114; Nucl. Phys. B476, 437 (1996), hep-th/9603161
D. Diaconescu, M. R. Douglas and J. Gomis, JHEP 9802, 013 (1998), hep-th/9712230
K. Dasgupta and S. Mukhi, JHEP9907, 008 (1999), hep-th/9904131
H. Ooguri and C. Vafa, Nucl. Phys. B463, 55 (1996), hep-th/9511164
I. Brunner and A. Karch, JHEP9803, 003 (1998), hep-th/9712143; A. Karch, D. Lust and D. Smith, Nucl. Phys. B533, 348 (1998), hep-th/ 9803232; B. Andreas, G. Curio and D. Lust, JHEP9810, 022 (1998), hep-th/9807008
R. Gregory, J. A. Harvey and G. Moore, Adv. Theor. Math. Phys. 1, 283 (1997), hep-th/9708086
A. Hanany and E. Witten, Nucl. Phys. B492, 152 (1997), hep-th/9611230
E. Witten, J. Geom. Phys. 15, 215 (1995), hep-th/9410052
, M. F. Atiyah, , V. G. Drinfeld, , N. J. Hitchin, and , Y. I. Manin, Phys. Lett. A65, 185 (1978)CrossRef
D. Diaconescu, Nucl. Phys. B503, 220 (1997), hep-th/9608163
D. Tsimpis, Phys. Lett. B433, 287 (1998), hep-th/9804081
, S. K. Donaldson, Commun. Math. Phys. 96, 387 (1984)CrossRef
S. Elitzur, A. Giveon and D. Kutasov, Phys. Lett. B400, 269 (1997), hep-th/9702014; S. Elitzur, A. Giveon, D. Kutasov, E. Rabinovici and A. Schwimmer, Nucl. Phys. B505, 202 (1997), hep-th/9704104
This is a useful review: A. Giveon and D. Kutasov, Brane dynamics and gauge theory, Rev. Mod. Phys. 71, 983 (1999), hep-th/9802067
, G. t'Hooft, Nucl. Phys. B79, 276 (1974); , A. M. Polyakov, JETP Lett. 20, 194 (1974)CrossRef
, B. Julia and , A. Zee, Phys. Rev. D11, 2227 (1975)
W. Nahm, The Construction Of All Selfdual Multi-Monopoles By The ADHM Method (Talk), in N. S. Craigie, P. Goddard and W. Nahm, Monopoles In Quantum Field Theory. Proceedings, Monopole Meeting, Trieste, Italy, December 11–15, 1981, World Scientific (1982)
For reviews, the appendix of ref. [232] is useful, and also: P. M. Sutcliffe, BPS monopoles, Int. J. Mod. Phys. A12, 4663 (1997), hep-th/9707009
, E. J. Weinberg, Phys. Rev. D20, 936 (1979); , W. Nahm, Phys. Lett. B85, 373 (1979)
H. Nakajima, Monopoles and Nahm's Equations, in Sanda 1990, Proceedings, Einstein metrics and Yang-Mills connections, pp. 193–211
A. Hashimoto, Phys. Rev. D57, 6441 (1998), hep-th/9711097
, J. Schwinger, Phys. Rev. 144, 1087 (1966); 173, 1536 (1968); , D. Zwanziger, Phys. Rev. 176, 1480, 1489 (1968); , B. Julia and , A. Zee, Phys. Rev. D11, 2227 (1974); , F. A. Bais and , J. R. Primak, Phys. Rev. D13, 819 (1975)CrossRef
, P. Fayet and , J. Iliopoulos, Phys. Lett. 51B, 461 (1974)
There are many good references. Some examples are: vol. 3 of ref. [54]; M. F. Sohnius, Phys. Rept. 128, 39 (1985)
, M. Melvin, Phys. Lett. 8, 65 (1963)
F. Dowker, J. P. Gauntlett, D. A. Kastor and J. Traschen, Phys. Rev. D 49, 2909 (1994), hep-th/9309075; F. Dowker, J. P. Gauntlett, G. W. Gibbons and G. T. Horowitz, Phys. Rev. D 52, 6929 (1995), hep-th/9507143; D53, 7115 (1996), hep-th/9512154
R. Emparan, Nucl. Phys. B 610, 169 (2001), hep-th/0105062; M. S. Costa, C. A. Herdeiro and L. Cornalba, Nucl. Phys. B 619, 155 (2001), hep-th/ 0105023; D. Brecher and P. M. Saffin, Nucl. Phys. B 613, 218 (2001), hep-th/0106206
H. E. Rauch and A. Lebowitz, Elliptic Functions, Theta Functions, and Riemann Surfaces, Williams and Wilkins (1973)
, N. Seiberg, Nucl. Phys. B303, 286 (1988)CrossRef
M. J. Duff, R. Minasian and E. Witten, Nucl. Phys. B 465, 413 (1996), hep-th/9601036
M. J. Duff, TASI lectures on branes, black holes and anti-de Sitter space, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/9912164
See refs. [232, 237, 248, 249]
M. F. Atiyah and N. J. Hitchin, Phys. Lett. A107, 21 (1985); Phil. Trans. R. Soc. Lond. A315, 459 (1985); The Geometry And Dynamics Of Magnetic Monopoles., M. B. Porter Lectures, Princeton University Press (1988)
G. Lifschytz, Phys. Lett. B388, 720 (1996), hep-th/9604156
M. Douglas, J. Polchinski and A. Strominger, JHEP9712, 003 (1997), hep-th/9703031
See refs. [237, 238, 248, 172]
See refs. [132, 193, 194, 192]
N. Seiberg, Phys. Lett. B384, 81 (1996), hep-th/9606017
A. Sen, JHEP9709, 001 (1997), hep-th/9707123; JHEP9710, 002 (1997) hep-th/9708002
C. V. Johnson, A. W. Peet and J. Polchinski, Phys. Rev. D61, 086001 (2000), hep-th/9911161
N. Seiberg and E. Witten, Nucl. Phys. B431, 484 (1994), hep-th/9408099; ibid.,B426 (1994) 19; Erratum: ibid., B430, 485 (1994), hep-th/9407087
M. R. Douglas and S. H. Shenker, Nucl. Phys. B447, 271 (1995), hep-th/ 9503163
R. R. Khuri, Phys. Lett. B294, 325 (1992), hep-th/9205051; Nucl. Phys. B387, 315 (1992), hep-th/9205081; J. P. Gauntlett, J. A. Harvey and J. T. Liu, Nucl. Phys. B409, 363 (1993), hep-th/9211056
M. Krogh, JHEP9912, 018 (1999), hep-th/9911084
The following has a nice discussion of the appearances of monopoles in string and gauge theory: A. Hanany and A. Zaffaroni, JHEP9912, 014 (1999), hep-th/9911113
L. Järv and C. V. Johnson, Phys. Rev. D62, 126010 (2000), hep-th/ 0002244
G. Chalmers and A. Hanany, Nucl. Phys. B489, 223 (1997), hep-th/ 9608105
N. S. Manton, Phys. Lett. B110, 54 (1982)
N. Seiberg and E. Witten, in Saclay 1996, The mathematical beauty of physics, hep-th/9607163
N. Dorey, V. V. Khoze, M. P. Mattis, D. Tong and S. Vandoren, Nucl. Phys. B502, 59 (1997), hep-th/9703228
, A. S. Dancer, Commun. Math. Phys. 158, 545 (1993)CrossRef
, G. W. Gibbons and , N. S. Manton, Nucl. Phys. B274, 183 (1986)CrossRef
, J. Madore, Class. Quant. Grav. 9, 69 (1992); Annals Phys. 219, 187 (1992); Phys. Lett. B263, 245 (1991)CrossRef
D. Kabat and W. I. Taylor, Adv. Theor. Math. Phys.2, 181 (1998, hep-th/ 9711078
S. Rey, Gravitating M(atrix) Q-balls, hep-th/9711081
, B. de Wit, , J. Hoppe and , H. Nicolai, Nucl. Phys. B305, 545 (1988)CrossRef
J. McGreevy, L. Susskind and N. Toumbas, JHEP0006, 008 (2000), hep-th/0003075; J. Polchinski and M. J. Strassler, hep-th/0003136
K. Behrndt, Nucl. Phys. B455, 188 (1995), hep-th/9506106; R. Kallosh and A. Linde, Phys. Rev. D52, 7137 (1995), hep-th/9507022; See also: M. Cvetič and D. Youm, Phys. Lett. B359, 87 (1995), hep-th/9507160
C. V. Johnson, Phys. Rev. D63, 065004 (2001), hep-th/0004068; Int. J. Mod. Phys. A 16, 990 (2001), hep-th/0011008 (talk at Strings 2000)
, W. Israel, Nuovo Cim. 44B, 1 (1966)
C. W. Misner, K. S. Thorne and J. A. Wheeler, Gravitation, San Francisco, Freeman (1973)
, S. W. Hawking, Commun. Math. Phys. 43, 199 (1975)CrossRef
, J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973), Phys. Rev. D 9, 3292 (1974)CrossRef
G. T. Horowitz and J. Polchinski, Phys. Rev. D 55, 6189 (1997), hep-th/ 9612146
C. V. Johnson, R. C. Myers, A. W. Peet and S. F. Ross, Phys. Rev. D 64, 106001 (2001), hep-th/0105077
J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995), hep-th/9510017
M. Douglas, J. Polchinski and A. Strominger, JHEP9712, 003 (1997), hep-th/9703031
S. Ferrara, R. Kallosh and A. Strominger, Phys. Rev. D 52, 5412 (1995), hep-th/9508072; S. Ferrara and R. Kallosh, Phys. Rev. D 54, 1514 (1996), hep-th/9602136; Phys. Rev. D 54, 1525 (1996), hep-th/9603090; S. Ferrara, G. W. Gibbons and R. Kallosh, Nucl. Phys. B 500, 75 (1997), hep-th/ 9702103
C. V. Johnson, R. R. Khuri and R. C. Myers, Phys. Lett. B 378, 78 (1996), hep-th/9603061; J. M. Maldacena and A. Strominger, Phys. Rev. Lett. 77, 428 (1996), hep-th/9603060; N. R. Constable, C. V. Johnson and R. C. Myers, JHEP0009, 039 (2000), hep-th/0008226; N. R. Constable, Phys. Rev. D 64, 104004 (2001), hep-th/0106038
C. G. Callan and J. M. Maldacena, Nucl. Phys. B 472, 591 (1996), hep-th/ 9602043; G. T. Horowitz and A. Strominger, Phys. Rev. Lett. 77, 2368 (1996), hep-th/9602051
J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1988), hep-th/9711200
E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998), hep-th/9802150
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Phys. Lett. B 428, 105 (1998), hep-th/9802109
E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998), hep-th/9803131
This is a review: O. Aharony, S. S. Gubser, J. Maldacena, H. Ooguri and Y. Oz, Phys. Rept. 323, 183 (2000), hep-th/9905111
Two very useful treatments are: P. Ginsparg, Applied Conformal Field Theory, Les Houches, France, June 28–Aug 5, 1988, eds. E. Brezin and J. Zinn-Justin, North-Holland, (1990); P. Di Francesco, P. Mathieu and D. Senechal, Conformal Field Theory, New York, Springer (1997)
G. W. Gibbons and D. A. Rasheed, Phys. Lett. B 365, 46 (1996), hep-th/ 9509141. M. B. Green and M. Gutperle, Phys. Lett. B 377, 28 (1996), hep-th/9602077. A. A. Tseytlin, Nucl. Phys. B469, 51 (1996), hep-th/ 9602064
, C. Montonen and , D. I. Olive, Phys. Lett. B 72, 117 (1977)CrossRef
A. W. Peet, TASI lectures on black holes in string theory, in TASI 1999: Strings, Branes and Gravity, World Scientific (2001), hep-th/0008241
, B. R. Greene, , A. D. Shapere, , C. Vafa and , S. T. Yau, Nucl. Phys. B 337, 1 (1990)CrossRef
L. Susskind, Another conjecture about M(atrix) theory, hep-th/9704080
, H. C. Pauli and , S. J. Brodsky, Phys. Rev. D 32, 1993 (1985)
W. I. Taylor, Phys. Lett. B 394, 283 (1997), hep-th/9611042; O. J. Ganor, S. Ramgoolam and W. I. Taylor, Nucl. Phys. B 492, 191 (1997), hep-th/ 9611202
L. Motl, hep-th/9701025. T. Banks and N. Seiberg, Nucl. Phys. B 497, 41 (1997), hep-th/9702187
R. Dijkgraaf, E. Verlinde and H. Verlinde, Nucl. Phys. B 500, 43 (1997), hep-th/9703030
For a review, see: R. Dijkgraaf, E. Verlinde and H. Verlinde, Nucl. Phys. Proc. Suppl. 62, 348 (1998), hep-th/9709107
G. 't Hooft, Dimensional Reduction In Quantum Gravity, gr-qc/9310026
L. Susskind, J. Math. Phys. 36, 6377 (1995), hep-th/9409089
, G. W. Gibbons and , S. W. Hawking, Phys. Rev. D 15, 2752 (1977); , G. W. Gibbons and , M. J. Perry, Proc. R. Soc. Lond. A 358, 467 (1978); , G. W. Gibbons, , S. W. Hawking and , M. J. Perry, Nucl. Phys. B 138, 141 (1978)
, J. M. Bardeen, , B. Carter and , S. W. Hawking, Commun. Math. Phys. 31, 161 (1973)CrossRef
S. W. Hawking and G. T. Horowitz, Class. Quant. Grav. 13, 1487 (1996) gr-qc/9501014
, S. W. Hawking and , D. N. Page, Commun. Math. Phys. 87, 577 (1983)CrossRef
An excellent reference for many matters of this nature is: R. M. Wald, General Relativity, Chicago University Press (1984), 491p
N. D. Birrell and P. C. Davies, Quantum Fields in Curved Space, Cambridge University Press (1982), 340p
S. Hyun, U-duality between three and higher dimensional black holes, hep-th/9704005
K. Sfetsos and K. Skenderis, Nucl. Phys. B 517, 179 (1998), hep-th/ 9711138
M. Bañados, C. Teitelboim and J. Zanelli, Phys. Rev. Lett. 69, 1849 (1992), hep-th/9204099
, J. D. Brown and , M. Henneaux, Commun. Math. Phys. 104, 207 (1986)CrossRef
O. Coussaert and M. Henneaux, Phys. Rev. Lett. 72, 183 (1994), hep-th/ 9310194
C. V. Johnson and R. C. Myers, Phys. Rev. D 64, 106002 (2001), hep-th/ 0105159
See the last reference in ref. [268], for the four dimensional version of this
, G. 't Hooft, Nucl. Phys. B 72, 461 (1974)CrossRef
, M. Gunaydin, , L. J. Romans and , N. P. Warner, Nucl. Phys. B 272, 598 (1986); Phys. Lett. B 154, 268 (1985); , M. Pernici, , K. Pilch and , P. van Nieuwenhuizen, Nucl. Phys. B 259, 460 (1985)CrossRef
, P. Breitenlohner and , D. Z. Freedman, Phys. Lett. B 115, 197 (1982)CrossRef
V. Balasubramanian and P. Kraus, Commun. Math. Phys. 208, 413 (1999), hep-th/9902121
S. R. Lau, Phys. Rev. D 60, 104034 (1999), gr-qc/9903038. R. B. Mann, Phys. Rev. D 60, 104047 (1999), hep-th/9903229
R. Emparan, C. V. Johnson and R. C. Myers, Phys. Rev. D 60, 104001 (1999), hep-th/9903238
G. T. Horowitz and S. F. Ross, JHEP9804, 015 (1998), hep-th/9803085
A. Chamblin, R. Emparan, C. V. Johnson and R. C. Myers, Phys. Rev. D 60, 064018 (1999), hep-th/9902170
M. Cvetic and S. S. Gubser, JHEP9904, 024 (1999), hep-th/9902195
L. J. Romans, Nucl. Phys. B 383, 395 (1992), hep-th/9203018
M. Cvetic, M. J. Duff, P. Hoxha, J. T. Liu, H. Lu, J. X. Lu, R. Martinez-Acosta, C. N. Pope, H. Sati, T. A. Tran, Nucl. Phys. B 558, 96 (1999), hep-th/9903214
, R. C. Myers and , M. J. Perry, Annals Phys. 172, 304 (1986)CrossRef
P. Kraus, F. Larsen and S. P. Trivedi, JHEP9903, 003 (1999), hep-th/ 9811120
J. G. Russo, Nucl. Phys. B 543, 183 (1999), hep-th/9808117
L. Susskind and E. Witten, The holographic bound in anti-de Sitter space, hep-th/9805114
A very clear presentation of this sort of technology can be found in: P. K. Townsend, Phys. Lett. B 148, 55 (1984)
S. S. Gubser, Curvature singularities: The good, the bad, and the naked, hep-th/0002160
J. Babington, N. Evans and J. Hockings, JHEP0107, 034 (2001), hep-th/0105235
L. Girardello, M. Petrini, M. Porrati and A. Zaffaroni, JHEP9812, 022 (1998), hep-th/9810126
J. Distler and F. Zamora, Adv. Theor. Math. Phys. 2, 1405 (1998), hep-th/ 9810206
C. V. Johnson, K. J. Lovis and D. C. Page, JHEP0105, 036 (2001), hep-th/0011166; JHEP0110, 014 (2001), hep-th/0107261
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, Adv. Theor. Math. Phys. 3, 363 (1999), hep-th/9904017
K. Pilch and N. P. Warner, N = 1 Supersymmetric Renormalization Group Flows from IIB Supergravity, hep-th/0006066
A. Khavaev, K. Pilch and N. P. Warner, Phys. Lett. B487, 14 (2000), hep-th/9812035
R. G. Leigh and M. J. Strassler, Nucl. Phys. B447, 95 (1995), hep-th/ 9503121
A. Karch, D. Lust and A. Miemiec, Phys. Lett. B 454, 265 (1999) hep-th/ 9901041
K. Pilch and N. P. Warner, Nucl. Phys. B 594, 209 (2001), hep-th/0004063
A. Brandhuber and K. Sfetsos, Phys. Lett. B 488, 373 (2000), hep-th/ 0004148
D. Z. Freedman, S. S. Gubser, K. Pilch and N. P. Warner, JHEP0007, 038 (2000), hep-th/9906194
I. Bakas and K. Sfetsos, Nucl. Phys. B 573, 768 (2000), hep-th/9909041
, M. A. Shifman and , A. I. Vainshtein, Nucl. Phys. B 277, 456 (1986) [Sov. Phys. JETP 64, 428 (1986)]; Nucl. Phys. B 359, 571 (1991)CrossRef
N. Evans, C. V. Johnson and M. Petrini, JHEP0010, 022 (2000), hep-th/ 0008081
A. Buchel, A. W. Peet and J. Polchinski, Phys. Rev. D 63, 044009 (2001), hep-th/0008076
L. Susskind, The quantum Hall fluid and non-commutative Chern Simons theory, hep-th/0101029; S. Hellerman and M. Van Raamsdonk, JHEP 0110, 039 (2001), hep-th/0103179; A. P. Polychronakos, JHEP0104, 011 (2001), hep-th/0103013; J. H. Brodie, L. Susskind and N. Toumbas, JHEP0102, 003 (2001), hep-th/0010105; O. Bergman, Y. Okawa and J. H. Brodie, JHEP0111, 019 (2001), hep-th/0107178; S. Hellerman and L. Susskind, Realizing the quantum Hall system in string theory, hep-th/0107200
N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B429, 263 (1998), hep-th/9803315; Phys. Rev. D59, 086004 (1999), hep-th/9807344. I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, Phys. Lett. B436, 257 (1998), hep-th/9804398
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999), hep-th/ 9905221; Phys. Rev. Lett. 83, 4690 (1999), hep-th/9906064
A. Sen and B. Zwiebach, JHEP0003:002 (2000), hep-th/9912249
A. Connes, M. R. Douglas and A. Schwarz, JHEP9802, 003 (1998), hep-th/9711162; M. R. Douglas and C. M. Hull, JHEP9802, 008 (1998), hep-th/9711165; C. S. Chu and P. M. Ho, Nucl. Phys. B 550, 151 (1999), hep-th/9812219; Nucl. Phys. B568, 447 (2000), hep-th/9906192; V. Schomerus, JHEP 9906, 030 (1999), hep-th/9903205; A. Y. Alekseev, A. Recknagel and V. Schomerus, JHEP9909, 023 (1999), hep-th/9908040; JHEP0005, 010 (2000), hep-th/0003187. N. Seiberg and E. Witten, JHEP9909, 032 (1999), hep-th/9908142
L. Alvarez-Gaumé and E. Witlen, Nucl. Phys. B234, 269 (1983)
D. Tong, JHEP0207, 013 (2002), hep-th/0204186
O. J. Ganor and A. Hanany, Nucl. Phys. B474, 122 (1996), hep-th/ 9602120
N. Ishibashi, H. Kawai, Y. Kitzawa and A. Tsuchiya, Nucl. Phys. B498, 467 (1997), hep-th/9612115
See also: P. Bain, ‘On the non-Abelian Born–Infeld action’, hep-th/ 9909154; F. Denef, A. Sevrin and J. Troost, Nucl. Phys. B581, 135 (2000), hep-th/0002180; A. Sevrin, J. Troost and W. Troost, Nucl. Phys. B603, 389 (2001), hep-th/0101192
M. Blau, J. Figueroa–O'Farrill, C. Hull and G. Papadopoulos, JHEP0201, 047 (2002), hep-th/0110242
M. Blau, J. Figueroa–O'Farrill, C. Hull and G. Papadopoulos, Class. Quant. Grav. 19, L87 (2002) hep-th/0201081
R. R. Metsaev, Nucl. Phys. B625, 70 (2002), hep-th/0112044
D. Berenstein, J. M. Maldacena and H. Nastase, JHEP0204, 013 (2002), hep-th/0202021
A. Adams, J. Polchinski and E. Silverstein, JHEP0110, 029 (2001), hep-th/ 0108075
J. A. Harvey, D. Kutasov, E. J. Martinec and G. Moore, Localized Tachyons and RG Flows, hep-th/0111154

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  • References
  • Clifford V. Johnson, University of Durham
  • Book: D-Branes
  • Online publication: 24 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511606540.022
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  • References
  • Clifford V. Johnson, University of Durham
  • Book: D-Branes
  • Online publication: 24 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511606540.022
Available formats
×

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To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • References
  • Clifford V. Johnson, University of Durham
  • Book: D-Branes
  • Online publication: 24 November 2009
  • Chapter DOI: https://doi.org/10.1017/CBO9780511606540.022
Available formats
×