arXiv:1509.04594

Theta function solutions of the qKZB equation for a face model

Peter E. Finch, Robert Weston, Paul Zinn-Justin

Published Sep 15, 2015• 2 citations

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.

DOI: 10.48550/arxiv.1509.04594

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