Two-term dilogarithm identities related to conformal field theory
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Number Theory
Abstract
We study 2x2 matrices A such that the corresponding TBA equations yield c[A] in the form of the effective central charge of a minimal Virasoro model. Certain properties of such matrices and the corresponding solutions of the TBA equations are established. Several continuous families and a discrete set of admissible matrices A are found. The corresponding two-term dilogarithm identities (some of which appear to be new) are obtained. Most of them are proven or shown to be equivalent to previously known identities.
Keywords
Cite
@article{arxiv.math-ph/9911012,
title = {Two-term dilogarithm identities related to conformal field theory},
author = {Andrei G. Bytsko},
journal= {arXiv preprint arXiv:math-ph/9911012},
year = {2007}
}
Comments
LaTex, 12 pages