Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems
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| Creator |
Nakanishi, T.
Tateo, R. |
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| Description |
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.
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| Date |
2019-02-09T19:48:04Z
2019-02-09T19:48:04Z 2010 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 13F60; 17B37 DOI:10.3842/SIGMA.2010.085 http://dspace.nbuv.gov.ua/handle/123456789/146519 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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