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Twisted rational r-matrices and algebraic Bethe ansatz: Application to generalized Gaudin and Richardson models
| dc.contributor.author | Skrypnyk, T. | |
| dc.contributor.author | Manojlović, Nenad | |
| dc.date.accessioned | 2021-06-22T08:51:49Z | |
| dc.date.available | 2021-06-22T08:51:49Z | |
| dc.date.issued | 2021-06 | |
| dc.description.abstract | In the present paper we develop the algebraic Bethe ansatz approach to the case of non-skew-symmetric gl(2) circle times gl(2)-valued Cartan-non-invariant classical r-matrices with spectral parameters. We consider the two families of these r-matrices, namely, the two non-standard rational r-matrices twisted with the help of second order automorphisms and realize the algebraic Bethe ansatz method for them. We study physically important examples of the Gaudin-type and BCS-type systems associated with these r-matrices and obtain explicitly the Bethe vectors and the spectrum for the corresponding quantum hamiltonians in terms of solutions of Bethe equations. (C) 2021 The Author(s). Published by Elsevier B.V. | pt_PT |
| dc.description.sponsorship | 0117U000240 | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1016/j.nuclphysb.2021.115424 | pt_PT |
| dc.identifier.eissn | 1873-1562 | |
| dc.identifier.uri | http://hdl.handle.net/10400.1/16335 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Elsevier | pt_PT |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | pt_PT |
| dc.subject | Yang-baxter equation | pt_PT |
| dc.subject | Triangular boudaries | pt_PT |
| dc.subject | Integrability | pt_PT |
| dc.subject | Chain | pt_PT |
| dc.subject | BCS | pt_PT |
| dc.title | Twisted rational r-matrices and algebraic Bethe ansatz: Application to generalized Gaudin and Richardson models | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.startPage | 115424 | pt_PT |
| oaire.citation.title | Nuclear Physics B | pt_PT |
| oaire.citation.volume | 967 | pt_PT |
| person.familyName | Manojlović | |
| person.givenName | Nenad | |
| person.identifier | 220839 | |
| person.identifier.ciencia-id | E017-D84B-6794 | |
| person.identifier.orcid | 0000-0002-1054-3063 | |
| person.identifier.scopus-author-id | 7004217507 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | c9980a48-7be4-4c89-a3bf-0ea6da8c0d35 | |
| relation.isAuthorOfPublication.latestForDiscovery | c9980a48-7be4-4c89-a3bf-0ea6da8c0d35 |
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