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

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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dc.contributor.author	Nakanishi, T.
dc.contributor.author	Tateo, R.
dc.date.accessioned	2019-02-09T19:48:04Z
dc.date.available	2019-02-09T19:48:04Z
dc.date.issued	2010
dc.identifier.citation	Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems / T. Nakanishi, R. Tateo // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 36 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 13F60; 17B37
dc.identifier.other	DOI:10.3842/SIGMA.2010.085
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146519
dc.description.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.	uk_UA
dc.description.sponsorship	It is our great pleasure to thank the anonymous referee who generously pointed out a crucial fact for the subject of the paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA