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Boundary two-parameter eight-state supersymmetric fermion model and Bethe ansatz solution

Published online by Cambridge University Press:  17 April 2009

Anthony J. Bracken ,
Xiang-Yu Ge ,
Yao-Zhong Zhang  and
Huan-Qiang Zhou
Anthony J. Bracken
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia e-mail: ajb@maths.uq.edu.au
Xiang-Yu Ge
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia e-mail: xg@maths.uq.edu.au
Yao-Zhong Zhang
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia e-mail: yzz@maths.uq.edu.au
Huan-Qiang Zhou
Affiliation:
Department of MathematicsThe University of QueenslandQueensland 4072, Australia e-mail: hqz@maths.uq.edu.au
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Abstract

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The recently introduced two-parameter eight-state Uq [gl(3|1)] supersymmetric fermion model is extended to include boundary terms. Nine classes of boundary conditions are constructed, all of which are shown to be integrable via the graded boundary quantum inverse scattering method. The boundary systems are solved by using the coordinate Bethe ansatz and the Bethe ansatz equations are given for all nine cases.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 375 - 390
Copyright
Copyright © Australian Mathematical Society 1999

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