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Mathematics Research Report MRR95-005
Remarks On The Quantum Dilogarithm
V.V. Bazhanov, N.Yu. Reshetikhin
Abstract:
A quantum analog of the dilogarithm function has been introduced recently by
Faddeev and Kashaev in such a way that certain identity in the Weyl algebra
$\overline{W}_q$ plays the role of the five term dilogarithm identity. We study
this identity in the limit when $q$ approaches a root of unity and show that it
then reduces to the ``restricted star-triangle relation" which has been
used previously
by Bazhanov and Baxter as a local integrability condition of a class of
three-dimensional
solvable lattice models.
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