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Theta function solutions of the quantum Knizhnik–Zamolodchikov–Bernard equation for a face model

By Peter E Finch, Robert Weston and Paul Zinn-Justin

Abstract

International audienceWe 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

Topics: [ MATH ] Mathematics [math]
Publisher: IOP Publishing
Year: 2016
DOI identifier: 10.1088/1751-8113
OAI identifier: oai:HAL:hal-01281674v1
Provided by: Hal-Diderot
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