Two-term dilogarithm identities related to conformal field theory

1999/11/10 by Andrei G. Bytsko · 1 citation
Physics and Astronomy · Mathematics · #math-ph #hep-th #math.MP #math.NT

paper · pdf

published as Lett.Math.Phys. 50 (1999) 213-228 · LaTex, 12 pages

arxiv created 1999/11/10 · arxiv updated 2009/11/30

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.

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• Analytic Dilogarithm Identities

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