Theta function solutions of the qKZB equation for a face model

Abstract

We consider the quantum Knizhnik-Zamolodchikov-Bernard equation for a face model with elliptic weights, the SOS model. We provide explicit solutions as theta functions. On the so-called combinatorial line, in which the model is equivalent to the three-colour model, these solutions are shown to be eigenvectors of the transfer matrix with periodic boundary conditions.

Cited by in corpus (2)

• Universal Bethe ansatz solution for the Temperley-Lieb spin chain
• Algebraic Bethe ansatz for the Temperley-Lieb spin-1 chain