The integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chains

dc.contributor.authorNepomechie, Rafael I.
dc.contributor.authorPimenta, Rodrigo A.
dc.contributor.authorRetore, Ana L. [UNESP]
dc.contributor.institutionUniversity of Miami
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:15:45Z
dc.date.available2018-12-11T17:15:45Z
dc.date.issued2017-11-01
dc.description.abstractA 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.en
dc.description.affiliationPhysics Department University of Miami, P.O. Box 248046
dc.description.affiliationInstituto de Física de São Carlos Universidade de São Paulo, Caixa Postal 369
dc.description.affiliationInstituto de Física Teórica UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II
dc.description.affiliationUnespInstituto de Física Teórica UNESP, Rua Dr. Bento Teobaldo Ferraz 271, Bloco II
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipUniversity of Miami
dc.description.sponsorshipIdFAPESP: 2014/00453-8
dc.description.sponsorshipIdFAPESP: 2015/00025-9
dc.description.sponsorshipIdUniversity of Miami: 2016/50023-5
dc.description.sponsorshipIdFAPESP: 2017/03072-3
dc.format.extent86-127
dc.identifierhttp://dx.doi.org/10.1016/j.nuclphysb.2017.09.004
dc.identifier.citationNuclear Physics B, v. 924, p. 86-127.
dc.identifier.doi10.1016/j.nuclphysb.2017.09.004
dc.identifier.file2-s2.0-85032672287.pdf
dc.identifier.issn0550-3213
dc.identifier.scopus2-s2.0-85032672287
dc.identifier.urihttp://hdl.handle.net/11449/175420
dc.language.isoeng
dc.relation.ispartofNuclear Physics B
dc.relation.ispartofsjr1,744
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleThe integrable quantum group invariant A2n−1 (2) and Dn+1 (2) open spin chainsen
dc.typeArtigo
unesp.author.orcid0000-0003-1000-3400[1]

Arquivos

Pacote Original
Agora exibindo 1 - 1 de 1
Carregando...
Imagem de Miniatura
Nome:
2-s2.0-85032672287.pdf
Tamanho:
562.59 KB
Formato:
Adobe Portable Document Format
Descrição: