The spectrum of quantum-group-invariant transfer matrices

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dc.contributor.authorNepomechie, Rafael I.
dc.contributor.authorRetore, Ana L. [UNESP]
dc.contributor.institutionUniversity of Miami
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2019-10-06T16:07:05Z
dc.date.available2019-10-06T16:07:05Z
dc.date.issued2019-01-01
dc.description.abstractIntegrable open quantum spin-chain transfer matrices constructed from trigonometric R-matrices associated to affine Lie algebras gˆ, and from certain K-matrices (reflection matrices) depending on a discrete parameter p, were recently considered in arXiv:1802.04864 and arXiv:1805.10144. It was shown there that these transfer matrices have quantum group symmetry corresponding to removing the pth node from the gˆ Dynkin diagram. Here we determine the spectrum of these transfer matrices by using analytical Bethe ansatz, and we determine the dependence of the corresponding Bethe equations on p. We propose formulas for the Dynkin labels of the Bethe states in terms of the numbers of Bethe roots of each type. We also briefly study how duality transformations are implemented on the Bethe ansatz solutions.en
dc.description.affiliationPhysics Department University of Miami, P.O. Box 248046
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.sponsorshipStony Brook University
dc.description.sponsorshipIdFAPESP: 2015/00025-9
dc.description.sponsorshipIdFAPESP: 2017/03072-3
dc.format.extent266-297
dc.identifierhttp://dx.doi.org/10.1016/j.nuclphysb.2018.11.017
dc.identifier.citationNuclear Physics B, v. 938, p. 266-297.
dc.identifier.doi10.1016/j.nuclphysb.2018.11.017
dc.identifier.issn0550-3213
dc.identifier.scopus2-s2.0-85057181774
dc.identifier.urihttp://hdl.handle.net/11449/188407
dc.language.isoeng
dc.relation.ispartofNuclear Physics B
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.titleThe spectrum of quantum-group-invariant transfer matricesen
dc.typeArtigo
unesp.author.orcid0000-0003-1000-3400[1]

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