A system of difference equations with elliptic coefficients and Bethe vectors

Abstract

An elliptic analogue of the $q$ deformed Knizhnik-Zamolodchikov equations is introduced. A solution is given in the form of a Jackson-type integral of Bethe vectors of the XYZ-type spin chains.

20 pages, AMS-LaTeX ver.1.1 (amssymb), 15 figures in LaTeX picture environments

References in corpus (3)

• Gaudin Model, Bethe Ansatz and Critical Level
• Difference equations for the correlation functions of the eight vertex model
• Bethe Ansatz for Higher Spin XYZ Models --- Low-lying Excitations ---

Cited by in corpus (2)

• Koornwinder polynomials and the XXZ spin chain
• Q-operators for higher spin eight vertex models with an even number of sites