Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation

Detalhes bibliográficos
Autor(a) principal: Salom, I.
Data de Publicação: 2019
Outros Autores: Manojlović, Nenad, Cirilo António, N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/12447
Resumo: The Gaudin model has been revisited many times, yet some important issues remained open so far. With this paper we aim to properly address its certain aspects, while clarifying, or at least giving a solid ground to some other. Our main contribution is establishing the relation between the off-shell Bethe vectors with the solutions of the corresponding Knizhnik-Zamolodchikov equations for the non-periodic sl(2) Gaudin model, as well as deriving the norm of the eigenvectors of the Gaudin Hamiltonians. Additionally, we provide a closed form expression also for the scalar products of the off-shell Bethe vectors. Finally, we provide explicit closed form of the off-shell Bethe vectors, together with a proof of implementation of the algebraic Bethe ansatz in full generality. (C) 2019 The Authors.
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spelling Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equationThe Gaudin model has been revisited many times, yet some important issues remained open so far. With this paper we aim to properly address its certain aspects, while clarifying, or at least giving a solid ground to some other. Our main contribution is establishing the relation between the off-shell Bethe vectors with the solutions of the corresponding Knizhnik-Zamolodchikov equations for the non-periodic sl(2) Gaudin model, as well as deriving the norm of the eigenvectors of the Gaudin Hamiltonians. Additionally, we provide a closed form expression also for the scalar products of the off-shell Bethe vectors. Finally, we provide explicit closed form of the off-shell Bethe vectors, together with a proof of implementation of the algebraic Bethe ansatz in full generality. (C) 2019 The Authors.Foundation for Science and Technology (FCT), Portugal PTDC/MAT-GEO/3319/2014 Ministry of Education, Science and Technological Development, Serbia ON 171031ElsevierSapientiaSalom, I.Manojlović, NenadCirilo António, N.2019-04-04T14:12:09Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/12447eng0550-321310.1016/j.nuclphysb.2018.12.025info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-24T10:24:24Zoai:sapientia.ualg.pt:10400.1/12447Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:03:48.210020Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
title Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
spellingShingle Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
Salom, I.
title_short Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
title_full Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
title_fullStr Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
title_full_unstemmed Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
title_sort Generalized sℓ(2) Gaudin algebra and corresponding Knizhnik–Zamolodchikov equation
author Salom, I.
author_facet Salom, I.
Manojlović, Nenad
Cirilo António, N.
author_role author
author2 Manojlović, Nenad
Cirilo António, N.
author2_role author
author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Salom, I.
Manojlović, Nenad
Cirilo António, N.
description The Gaudin model has been revisited many times, yet some important issues remained open so far. With this paper we aim to properly address its certain aspects, while clarifying, or at least giving a solid ground to some other. Our main contribution is establishing the relation between the off-shell Bethe vectors with the solutions of the corresponding Knizhnik-Zamolodchikov equations for the non-periodic sl(2) Gaudin model, as well as deriving the norm of the eigenvectors of the Gaudin Hamiltonians. Additionally, we provide a closed form expression also for the scalar products of the off-shell Bethe vectors. Finally, we provide explicit closed form of the off-shell Bethe vectors, together with a proof of implementation of the algebraic Bethe ansatz in full generality. (C) 2019 The Authors.
publishDate 2019
dc.date.none.fl_str_mv 2019-04-04T14:12:09Z
2019
2019-01-01T00:00:00Z
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://hdl.handle.net/10400.1/12447
url http://hdl.handle.net/10400.1/12447
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0550-3213
10.1016/j.nuclphysb.2018.12.025
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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