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Supersymmetric t-J Gaudin Models and KZ Equations

Mark D. Gould, Yao-Zhong Zhang, Shao-You Zhao

nlin.SIarXiv:nlin/0202046

Abstract

Supersymmetric t-J Gaudin models with both periodic and open boundary conditions are constructed and diagonalized by means of the algebraic Bethe ansatz method. Off-shell Bethe ansatz equations of the Gaudin systems are derived, and used to construct and solve the KZ equations associated with sl(2|1)(1) superalgebra.

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