Cyclic Quantum Dilogarithm and Shift Operator
Zhan-Ning Hu, Bo-Yu Hou
Abstract
From the cyclic quantum dilogarithm the shift operator is constructed with q is a root of unit and the representation is given for the current algebra introduced by Faddeev et ~al. It is shown that the theta-function is factorizable also in this case by using the star-square equation of the Baxter-Bazhanov model.
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