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Two-term dilogarithm identities related to conformal field theory | Andrei G. Bytsko
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9 Nov 1999 | Journal: | Lett.Math.Phys. 50 (1999) 213-228 | Subject: | Mathematical Physics; Number Theory | math-ph hep-th math.MP math.NT | 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. | Source: | arXiv, math-ph/9911012 | Services: | Forum | Review | PDF | Favorites |
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