人脸模型下qKZB方程的Theta函数解
Theta function solutions of the qKZB equation for a face model
摘要:
我们考虑带椭圆权的人脸模型SOS模型的量子Knizhnik-Zamolodchikov-Bernard方程。我们提供明确的解决方案作为theta函数。在所谓的组合线上,该模型相当于三色模型,这些解决方案被证明是具有周期性边界条件的传递矩阵的特征向量。
英文摘要:
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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