Elliptic Gaudin models and elliptic KZ equations

Mark D. Gould, Yao-Zhong Zhang, Shao-You Zhao
2002 Nuclear Physics B  
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.
doi:10.1016/s0550-3213(02)00136-0 fatcat:jcv7lbhy3zd6jgbkwgdmy5np3a