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June 2011 Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case
Tomoki Nakanishi
Nagoya Math. J. 202: 23-43 (June 2011). DOI: 10.1215/00277630-1260432

Abstract

The dilogarithm identities for the central charges of conformal field theories of simply laced type were conjectured by Bazhanov, Kirillov, and Reshetikhin. Their functional generalizations were conjectured by Gliozzi and Tateo. They have been partly proved by various authors. We prove these identities in full generality for any pair of Dynkin diagrams of simply laced type based on the cluster algebra formulation of the Y-systems.

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Tomoki Nakanishi. "Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case." Nagoya Math. J. 202 23 - 43, June 2011. https://doi.org/10.1215/00277630-1260432

Information

Published: June 2011
First available in Project Euclid: 31 May 2011

zbMATH: 1284.81157
MathSciNet: MR2804544
Digital Object Identifier: 10.1215/00277630-1260432

Subjects:
Primary: 13F60
Secondary: 17B37

Rights: Copyright © 2011 Editorial Board, Nagoya Mathematical Journal

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Vol.202 • June 2011
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