1+1 Gaudin Model
dc.contributor.author | Zotov, A.V. | |
dc.date.accessioned | 2019-02-14T16:56:21Z | |
dc.date.available | 2019-02-14T16:56:21Z | |
dc.date.issued | 2011 | |
dc.description.abstract | We study 1+1 field-generalizations of the rational and elliptic Gaudin models. For sl(N) case we introduce equations of motion and L-A pair with spectral parameter on the Riemann sphere and elliptic curve. In sl(2) case we study the equations in detail and find the corresponding Hamiltonian densities. The n-site model describes n interacting Landau-Lifshitz models of magnets. The interaction depends on position of the sites (marked points on the curve). We also analyze the 2-site case in its own right and describe its relation to the principal chiral model. We emphasize that 1+1 version impose a restriction on a choice of flows on the level of the corresponding 0+1 classical mechanics. | uk_UA |
dc.description.sponsorship | Author is grateful to M.A. Olshanetsky for useful discussions and remarks. The work was supported by grants RFBR-09-02-00393, RFBR-09-01-92437-KEa, RFBR-09-01-93106-NCNILa, Russian President fund MK-1646.2011.1 and to the Federal Agency for Science and Innovations of Russian Federation under contract 14.740.11.0347. | uk_UA |
dc.identifier.citation | 1+1 Gaudin Model / A.V. Zotov // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 39 назв. — англ. | uk_UA |
dc.identifier.issn | 1815-0659 | |
dc.identifier.other | 2010 Mathematics Subject Classification: 14H70; 33E05; 37K20; 37K10 | |
dc.identifier.other | DOI:10.3842/SIGMA.2011.067 | |
dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/147387 | |
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.status | published earlier | uk_UA |
dc.title | 1+1 Gaudin Model | uk_UA |
dc.type | Article | uk_UA |
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