Elliptic Gaudin models and elliptic KZ Equations

Details Elliptic Gaudin models and elliptic KZ Equations Elliptic Gaudin models and elliptic KZ Equations

2001-10-22

arxiv.org/abs/nlin/0110038v2

Nucl.Phys. B630 (2002) 492-508

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex file 18 pages; Errors corrected and references added

Scientific paper

10.1016/S0550-3213(02)00136-0

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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