SL(2, C) Gustafson Integrals
It was shown recently that many of the Gustafson integrals appear in studies of the SL(2, R) spin chain models. One can hope to obtain a generalization of the Gustafson integrals, considering spin chain models with a different symmetry group. In this paper, we analyse the spin magnet with the SL(2,...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2018 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209434 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | SL(2, C) Gustafson Integrals / S.É. Derkachov, A.N. Manashov, P.A. Valinevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862679981077823488 |
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| author | Derkachov, S.É. Manashov, A.N. Valinevich, P.A. |
| author_facet | Derkachov, S.É. Manashov, A.N. Valinevich, P.A. |
| citation_txt | SL(2, C) Gustafson Integrals / S.É. Derkachov, A.N. Manashov, P.A. Valinevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | It was shown recently that many of the Gustafson integrals appear in studies of the SL(2, R) spin chain models. One can hope to obtain a generalization of the Gustafson integrals, considering spin chain models with a different symmetry group. In this paper, we analyse the spin magnet with the SL(2, C) symmetry group in the case of open and periodic boundary conditions and derive several new integrals.
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| first_indexed | 2025-12-07T15:44:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209434 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:44:32Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Derkachov, S.É. Manashov, A.N. Valinevich, P.A. 2025-11-21T18:48:35Z 2018 SL(2, C) Gustafson Integrals / S.É. Derkachov, A.N. Manashov, P.A. Valinevich // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 31 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53C12; 57R18 arXiv: 1711.07822 https://nasplib.isofts.kiev.ua/handle/123456789/209434 https://doi.org/10.3842/SIGMA.2018.030 It was shown recently that many of the Gustafson integrals appear in studies of the SL(2, R) spin chain models. One can hope to obtain a generalization of the Gustafson integrals, considering spin chain models with a different symmetry group. In this paper, we analyse the spin magnet with the SL(2, C) symmetry group in the case of open and periodic boundary conditions and derive several new integrals. This study was supported by the Russian Science Foundation project № 14-11-00598 and Deutsche Forschungsgemeinschaft (A. M.), grant MO 1801/1-2. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications SL(2, C) Gustafson Integrals Article published earlier |
| spellingShingle | SL(2, C) Gustafson Integrals Derkachov, S.É. Manashov, A.N. Valinevich, P.A. |
| title | SL(2, C) Gustafson Integrals |
| title_full | SL(2, C) Gustafson Integrals |
| title_fullStr | SL(2, C) Gustafson Integrals |
| title_full_unstemmed | SL(2, C) Gustafson Integrals |
| title_short | SL(2, C) Gustafson Integrals |
| title_sort | sl(2, c) gustafson integrals |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209434 |
| work_keys_str_mv | AT derkachovse sl2cgustafsonintegrals AT manashovan sl2cgustafsonintegrals AT valinevichpa sl2cgustafsonintegrals |