Wess-Zumino-Witten model on elliptic curves at the critical level

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We construct a Gaudin type lattice model as the Wess-Zumino-Witten model on elliptic curves at the critical level. Bethe eigenvectors are obtained by the bosonisation technique.
Talk given at Mathematical Methods of Regular Dynamics dedicated to the 150th anniversary of Sophie Kowalevski, University of Leeds, 12-15 April, 2000

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