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Elliptic Gaudin models and elliptic KZ Equations

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

nlin.SIarXiv:nlin/0110038

Abstract

The Gaudin models based on the face-type elliptic quantum groups and the XYZ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik-Zamolodchikov equations and their solutions are given.

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