Knizhnik-Zamolodchikov-Bernard equations connected with the eight-vertex model

Details Knizhnik-Zamolodchikov-Bernard equations connected with the eight-vertex model Knizhnik-Zamolodchikov-Bernard equations connected with the eight-vertex model

1998-04-15

arxiv.org/abs/solv-int/9804015v1

Int. Journ. Mod. Phys. A14 (1999) 615-630

Physics

Condensed Matter

Statistical Mechanics

20 pages latex, macro: tcilatex

Scientific paper

10.1142/S0217751X99000300

Using quasiclassical limit of Baxter's 8 - vertex R - matrix, an elliptic generalization of the Knizhnik-Zamolodchikov equation is constructed. Via Off-Shell Bethe ansatz an integrable representation for this equation is obtained. It is shown that there exists a gauge transformation connecting this equation with Knizhnik-Zamolodchikov-Bernard equation for SU(2)-WZNW model on torus.

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