Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Dilogarithm   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.

28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci