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Bethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundary

2021-08Journal article Open access
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dc.contributor.authorSalom, I.
dc.contributor.authorManojlović, Nenad
dc.date.accessioned2021-09-14T15:52:19Z
dc.date.available2021-09-14T15:52:19Z
dc.date.issued2021-08
dc.description.abstractWe present a comprehensive treatment of the non-periodic trigonometric s (2) Gaudin model with tri angular boundary, with an emphasis on specific freedom found in the local realization of the generators, as well as in the creation operators used in the algebraic Bethe ansatz. First, we give Bethe vectors of the non-periodic trigonometric s (2) Gaudin model both through a recurrence relation and in a closed form. Next, the off-shell action of the generating function of the trigonometric Gaudin Hamiltonians with gen eral boundary terms on an arbitrary Bethe vector is shown, together with the corresponding proof based on mathematical induction. The action of the Gaudin Hamiltonians is given explicitly. Furthermore, by careful choice of the arbitrary functions appearing in our more general formulation, we additionally obtain: i) the solutions to the Knizhnik-Zamolodchikov equations (each corresponding to one of the Bethe states); ii) compact formulas for the on-shell norms of Bethe states; and iii) closed-form expressions for the off-shell scalar products of Bethe states.pt_PT
dc.description.sponsorshipMinistry of Education, Science and Technological Development (MP-NTR) of the Republic of Serbia, and by the Science Fund of the Republic of Serbia, Program DIASPORA, No. 6427195, SQ2020.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.nuclphysb.2021.115462pt_PT
dc.identifier.eissn1873-1562
dc.identifier.urihttp://hdl.handle.net/10400.1/17109
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectEquação Yang-Baxterpt_PT
dc.subjectEquação de reflexãopt_PT
dc.subjectOperadores de criaçãopt_PT
dc.subjectAnsatzpt_PT
dc.subjectSpinpt_PT
dc.subjectIntegrabilidadept_PT
dc.subjectÁlgebraspt_PT
dc.subjectVetorespt_PT
dc.subjectCadeiapt_PT
dc.titleBethe states and Knizhnik-Zamolodchikov equations of the trigonometric Gaudin model with triangular boundarypt_PT
dc.title.alternativeOs estados de Bethe e knizhnik-Zamolodchikov equações do modelo t trigonométrico Gaudin com limite triangularpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.startPage115462pt_PT
oaire.citation.titleNuclear Physics Bpt_PT
oaire.citation.volume969pt_PT
person.familyNameManojlović
person.givenNameNenad
person.identifier220839
person.identifier.ciencia-idE017-D84B-6794
person.identifier.orcid0000-0002-1054-3063
person.identifier.scopus-author-id7004217507
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationc9980a48-7be4-4c89-a3bf-0ea6da8c0d35
relation.isAuthorOfPublication.latestForDiscoveryc9980a48-7be4-4c89-a3bf-0ea6da8c0d35

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