Book contents
- Frontmatter
- Contents
- List of inserts
- Preface
- 1 Overview and overture
- 2 Relativistic strings
- 3 A closer look at the world-sheet
- 4 Strings on circles and T-duality
- 5 Background fields and world-volume actions
- 6 D-brane tension and boundary states
- 7 Supersymmetric strings
- 8 Supersymmetric strings and T-duality
- 9 World-volume curvature couplings
- 10 The geometry of D-branes
- 11 Multiple D-branes and bound states
- 12 Strong coupling and string duality
- 13 D-branes and geometry I
- 14 K3 orientifolds and compactification
- 15 D-branes and geometry II
- 16 Towards M- and F-theory
- 17 D-branes and black holes
- 18 D-branes, gravity and gauge theory
- 19 The holographic renormalisation group
- 20 Taking stock
- References
- Index
19 - The holographic renormalisation group
Published online by Cambridge University Press: 24 November 2009
- Frontmatter
- Contents
- List of inserts
- Preface
- 1 Overview and overture
- 2 Relativistic strings
- 3 A closer look at the world-sheet
- 4 Strings on circles and T-duality
- 5 Background fields and world-volume actions
- 6 D-brane tension and boundary states
- 7 Supersymmetric strings
- 8 Supersymmetric strings and T-duality
- 9 World-volume curvature couplings
- 10 The geometry of D-branes
- 11 Multiple D-branes and bound states
- 12 Strong coupling and string duality
- 13 D-branes and geometry I
- 14 K3 orientifolds and compactification
- 15 D-branes and geometry II
- 16 Towards M- and F-theory
- 17 D-branes and black holes
- 18 D-branes, gravity and gauge theory
- 19 The holographic renormalisation group
- 20 Taking stock
- References
- Index
Summary
We saw in the previous chapter that the ‘holographic’, duality between AdS5 physics and the physics of the conformally invariant four dimensional Yang–Mills theory can be extended to the properties of solutions which are only asymptotically AdS5, in keeping with the basic dictionary of the correspondence. We studied the properties of Schwarzschild and Reissner–Nordstrom black holes in AdS, arising naturally as limits of non-extremal and spinning D3-branes, and found that their properties make considerable physical sense in the holographically dual field theory.
It is very clear that this duality between gravitational physics and that of gauge theory is potentially a powerful tool for studying gauge theory. The prototype example is, of course, a highly specialised sort of gauge theory, since it has sixteen supercharges, and is conformally invariant. Of great interest is the study of gauge theories which might be closer to the theories we use to model interactions in particle physics, such as QCD. Perhaps there are gravitational duals of such theories. More generally, of course, we would like to also find and study full string theory duals, if we want to study more than just very large N. At the time of writing, this is subject of considerable research effort.
In this chapter we shall have a brief look at extending the intuition we have developed about the AdS/CFT correspondence a bit further, and address the issue of studying less symmetric gauge theories by deforming the AdS/CFT example.
- Type
- Chapter
- Information
- D-Branes , pp. 467 - 503Publisher: Cambridge University PressPrint publication year: 2002