Theta function solutions of the qKZB equation for a face model
classification
🧮 math-ph
math.MPnlin.SI
keywords
modelsolutionsequationfacethetaboundarycombinatorialconditions
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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.
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