QUANTUM DILOGARITHM

被引：237

作者：

FADDEEV, LD ^{[1
]}

KASHAEV, RM ^{[1
]}

机构：

[1] VA STEKLOV MATH INST,ST PETERSBURG 191011,RUSSIA

来源：

MODERN PHYSICS LETTERS A | 1994年 / 9卷 / 05期

关键词：

D O I：

10.1142/S0217732394000447

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A quantum generalization of Rogers' five-term, or ''pentagon'' dilogarithm identity is suggested. It is shown that the classical limit gives the 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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页码：427 / 434

页数：8

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