Cyclic Quantum Dilogarithm and Shift Operator

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, latex, no figures

Scientific paper

{}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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