Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
Quantum Algebra
2014-11-21 v3 High Energy Physics - Theory
Representation Theory
Abstract
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 associated dilogarithm identities which have been conjectured earlier. In particular, this provides new examples of periodicities of seeds.
Keywords
Cite
@article{arxiv.1005.4199,
title = {Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems},
author = {Tomoki Nakanishi and Roberto Tateo},
journal= {arXiv preprint arXiv:1005.4199},
year = {2014}
}