Abstract
By the use of the quasiclassical limit of Baxter's eight-vertex R matrix, an elliptic generalization of the Knizhnik–Zamolodchikov equation is constructed. An integral representation for the solution of this equation is obtained via the off-shell Bethe ansatz. It is shown that there exists a gauge transformation connecting this equation with the Knizhnik–Zamolodchikov–Bernard equation for the SU(2) WZNW model on a torus.
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