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. (C) 2002 Published by Elsevier Science B.V.
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Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
Castorina, Daniele
Sanchon, Manel
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Ctr Recerca Matemat, Barcelona 08193, Spain
Univ Autonoma Barcelona, E-08193 Barcelona, SpainUniv Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy