Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems

We study the family of Y-systems and T-systems associated with the sine-Gordon models and the reduced sine-Gordon models for the parameter of continued fractions with two terms. We formulate these systems by cluster algebras, which turn out to be of finite type, and prove their periodicities and the...

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Bibliographic Details
Main Authors: Tomoki Nakanishi, Roberto Tateo
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2010-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2010.085