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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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Інститут математики НАН України
2010
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/146519 |
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irk-123456789-1465192019-02-10T01:25:18Z Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems Nakanishi, T. Tateo, R. 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. 2010 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Nakanishi, T. Tateo, R. |
| spellingShingle |
Nakanishi, T. Tateo, R. Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Nakanishi, T. Tateo, R. |
| author_sort |
Nakanishi, T. |
| title |
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems |
| title_short |
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems |
| title_full |
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems |
| title_fullStr |
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems |
| title_full_unstemmed |
Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems |
| title_sort |
dilogarithm identities for sine-gordon and reduced sine-gordon y-systems |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146519 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT nakanishit dilogarithmidentitiesforsinegordonandreducedsinegordonysystems AT tateor dilogarithmidentitiesforsinegordonandreducedsinegordonysystems |
| first_indexed |
2023-05-20T17:24:59Z |
| last_indexed |
2023-05-20T17:24:59Z |
| _version_ |
1796153238760718336 |