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Dilogarithm identities for conformal field theories and cluster algebras: Simply laced case

Published online by Cambridge University Press:  11 January 2016

Tomoki Nakanishi
Tomoki Nakanishi*
Affiliation:
Graduate School of Mathematics, Nagoya University, Nagoya 464-8604, Japan, [email protected]
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Abstract

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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.

Keywords

13F6017B37
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 202 , June 2011 , pp. 23 - 43
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

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