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Elliptic Gaudin models and elliptic KZ Equations

Mark D. Gould·Yao-Zhong Zhang·Shao-You Zhao
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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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Mark D. Gould, Yao-Zhong Zhang, Shao-You Zhao. 2001-10-27. Elliptic Gaudin models and elliptic KZ Equations. https://doi.org/10.1016/s0550-3213(02)00136-0

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