Theta function solutions of the qKZB equation for a face model
Mathematical Physics
2015-11-20 v2 math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.1509.04594,
title = {Theta function solutions of the qKZB equation for a face model},
author = {Peter E. Finch and Robert Weston and Paul Zinn-Justin},
journal= {arXiv preprint arXiv:1509.04594},
year = {2015}
}