The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.nuclphysb.2017.09.004 http://hdl.handle.net/11449/175420 |
Resumo: | A family of A2n (2) integrable open spin chains with Uq(Cn) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of A2n−1 (2) integrable open spin chains with Uq(Dn) symmetry, and two families of Dn+1 (2) integrable open spin chains with Uq(Bn) symmetry. We discuss the consequences of these symmetries for the degeneracies and multiplicities of the spectrum. We propose Bethe ansatz solutions for two of these models, whose completeness we check numerically for small values of n and chain length N. We find formulas for the Dynkin labels in terms of the numbers of Bethe roots of each type, which are useful for determining the corresponding degeneracies. In an appendix, we briefly consider Dn+1 (2) chains with other integrable boundary conditions, which do not have quantum group symmetry. |
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Repositório Institucional da UNESP |
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The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chainsA family of A2n (2) integrable open spin chains with Uq(Cn) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of A2n−1 (2) integrable open spin chains with Uq(Dn) symmetry, and two families of Dn+1 (2) integrable open spin chains with Uq(Bn) symmetry. We discuss the consequences of these symmetries for the degeneracies and multiplicities of the spectrum. We propose Bethe ansatz solutions for two of these models, whose completeness we check numerically for small values of n and chain length N. We find formulas for the Dynkin labels in terms of the numbers of Bethe roots of each type, which are useful for determining the corresponding degeneracies. In an appendix, we briefly consider Dn+1 (2) chains with other integrable boundary conditions, which do not have quantum group symmetry.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)University of MiamiPhysics Department University of Miami, P.O. Box 248046Instituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369Instituto de Física Teórica UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IIInstituto de Física Teórica UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco IIFAPESP: 2014/00453-8FAPESP: 2015/00025-9University of Miami: 2016/50023-5FAPESP: 2017/03072-3University of MiamiUniversidade de São Paulo (USP)Universidade Estadual Paulista (Unesp)Nepomechie, Rafael I.Pimenta, Rodrigo A.Retore, Ana L. [UNESP]2018-12-11T17:15:45Z2018-12-11T17:15:45Z2017-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article86-127application/pdfhttp://dx.doi.org/10.1016/j.nuclphysb.2017.09.004Nuclear Physics B, v. 924, p. 86-127.0550-3213http://hdl.handle.net/11449/17542010.1016/j.nuclphysb.2017.09.0042-s2.0-850326722872-s2.0-85032672287.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuclear Physics B1,744info:eu-repo/semantics/openAccess2023-12-17T06:16:36Zoai:repositorio.unesp.br:11449/175420Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:32:39.512700Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
title |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
spellingShingle |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains Nepomechie, Rafael I. |
title_short |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
title_full |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
title_fullStr |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
title_full_unstemmed |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
title_sort |
The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains |
author |
Nepomechie, Rafael I. |
author_facet |
Nepomechie, Rafael I. Pimenta, Rodrigo A. Retore, Ana L. [UNESP] |
author_role |
author |
author2 |
Pimenta, Rodrigo A. Retore, Ana L. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
University of Miami Universidade de São Paulo (USP) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Nepomechie, Rafael I. Pimenta, Rodrigo A. Retore, Ana L. [UNESP] |
description |
A family of A2n (2) integrable open spin chains with Uq(Cn) symmetry was recently identified in arXiv:1702.01482. We identify here in a similar way a family of A2n−1 (2) integrable open spin chains with Uq(Dn) symmetry, and two families of Dn+1 (2) integrable open spin chains with Uq(Bn) symmetry. We discuss the consequences of these symmetries for the degeneracies and multiplicities of the spectrum. We propose Bethe ansatz solutions for two of these models, whose completeness we check numerically for small values of n and chain length N. We find formulas for the Dynkin labels in terms of the numbers of Bethe roots of each type, which are useful for determining the corresponding degeneracies. In an appendix, we briefly consider Dn+1 (2) chains with other integrable boundary conditions, which do not have quantum group symmetry. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-11-01 2018-12-11T17:15:45Z 2018-12-11T17:15:45Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.nuclphysb.2017.09.004 Nuclear Physics B, v. 924, p. 86-127. 0550-3213 http://hdl.handle.net/11449/175420 10.1016/j.nuclphysb.2017.09.004 2-s2.0-85032672287 2-s2.0-85032672287.pdf |
url |
http://dx.doi.org/10.1016/j.nuclphysb.2017.09.004 http://hdl.handle.net/11449/175420 |
identifier_str_mv |
Nuclear Physics B, v. 924, p. 86-127. 0550-3213 10.1016/j.nuclphysb.2017.09.004 2-s2.0-85032672287 2-s2.0-85032672287.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nuclear Physics B 1,744 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
86-127 application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129216822116352 |