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

Abstract

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.

20 pages latex, macro: tcilatex

References in corpus (3)

• Off-Shell Bethe Ansatz Equation and N-point Correlators in the SU(2) WZNW Theory
• Off-Shell Bethe Ansatz Equation for Gaudin Magnets and Solutions of Knizhnik-Zamolodchikov Equations
• Algebraic Bethe Ansatz for XYZ Gaudin model

Cited by in corpus (9)

• Off-Shell Bethe Ansatz Equation for $osp(2|1)$ Gaudin Magnets
• Elliptic Gaudin models and elliptic KZ Equations
• $sl(2|1{)}^{(2)}$ Gaudin Magnet and its associated Knizhnik-Zamolodchikov equation
• Gaudin magnet with impurity and its generalized Knizhnik-Zamolodchikov equation
• The Elliptic Gaudin Model: a Numerical Study
• $A_2^{(2)}$ Gaudin model and its associated Knizhnik-Zamolodchikov equation
• The Drinfel'd twisted XYZ model
• $osp(1|2)$ off-shell Bethe ansatz equation with boundary terms
• On non-stationary Lamé equation from WZW model and spin-1/2 XYZ chain