Elliptic Gaudin models and elliptic KZ Equations
classification
🌊 nlin.SI
cond-mathep-thmath-phmath.MP
keywords
gaudinellipticmodelsequationsface-typealgebraicansatzbethe
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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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