Quantum Dilogarithm

Details Quantum Dilogarithm Quantum Dilogarithm

1993-10-13

arxiv.org/abs/hep-th/9310070v1

Mod.Phys.Lett. A9 (1994) 427-434

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

10.1142/S0217732394000447

A quantum generalization of Rogers' five term, or ``pentagon'' dilogarithm identity is suggested. It is shown that the classical limit gives usual Rogers' identity. The case where the quantum identity is realized in finite dimensional space is also considered and the quantum dilogarithm is constructed as a function on Fermat curve, while the identity itself is equivalent to the restricted star-triangle relation introduced by Bazhanov and Baxter.

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