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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2010 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2010
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146519 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862547553967407104 |
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| author | Nakanishi, T. Tateo, R. |
| author_facet | Nakanishi, T. Tateo, R. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-11-25T16:02:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146519 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T16:02:18Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nakanishi, T. Tateo, R. 2019-02-09T19:48:04Z 2019-02-09T19:48:04Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146519 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. It is our great pleasure to thank the anonymous referee who generously pointed out a crucial
 fact for the subject of the paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems Article published earlier |
| spellingShingle | Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems Nakanishi, T. Tateo, R. |
| title | 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_short | Dilogarithm Identities for Sine-Gordon and Reduced Sine-Gordon Y-Systems |
| title_sort | dilogarithm identities for sine-gordon and reduced sine-gordon y-systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146519 |
| work_keys_str_mv | AT nakanishit dilogarithmidentitiesforsinegordonandreducedsinegordonysystems AT tateor dilogarithmidentitiesforsinegordonandreducedsinegordonysystems |