Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP01(2018)018 http://hdl.handle.net/11449/175727 |
Resumo: | The integrability of the N= 1 supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation is performed by using essentially two methods: the Bäcklund-defect matrix approach and the superfield approach. Firstly, we employ the defect matrix associated to the hierarchy which turns out to be the same for the supersymmetric sinh-Gordon (sshG) model. The method is general for all flows and as an example we derive explicitly the Bäcklund equations in components for the first few flows of the hierarchy, namely t3 and t5. Secondly, the supersymmetric extension of the Bäcklund transformation in the superspace formalism is constructed for those flows. Finally, this super Bäcklund transformation is employed to introduce type I defects for the supersymmetric mKdV hierarchy. Further integrability aspects by considering modified conserved quantities are derived from the defect matrix. |
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Repositório Institucional da UNESP |
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Defects in the supersymmetric mKdV hierarchy via Bäcklund transformationsIntegrable Field TheoriesIntegrable HierarchiesThe integrability of the N= 1 supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation is performed by using essentially two methods: the Bäcklund-defect matrix approach and the superfield approach. Firstly, we employ the defect matrix associated to the hierarchy which turns out to be the same for the supersymmetric sinh-Gordon (sshG) model. The method is general for all flows and as an example we derive explicitly the Bäcklund equations in components for the first few flows of the hierarchy, namely t3 and t5. Secondly, the supersymmetric extension of the Bäcklund transformation in the superspace formalism is constructed for those flows. Finally, this super Bäcklund transformation is employed to introduce type I defects for the supersymmetric mKdV hierarchy. Further integrability aspects by considering modified conserved quantities are derived from the defect matrix.Instituto de Física e Química Universidade Federal de Itajubá, Av. BPS 1303Instituto de Física Teórica — UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco IIInstituto de Física Teórica — UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco IIUniversidade Federal de ItajubáUniversidade Estadual Paulista (Unesp)Aguirre, A. R.Retore, A. L. [UNESP]Gomes, J. F. [UNESP]Spano, N. I. [UNESP]Zimerman, A. H. [UNESP]2018-12-11T17:17:15Z2018-12-11T17:17:15Z2018-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP01(2018)018Journal of High Energy Physics, v. 2018, n. 1, 2018.1029-84791126-6708http://hdl.handle.net/11449/17572710.1007/JHEP01(2018)0182-s2.0-850401972662-s2.0-85040197266.pdf8215976645016606Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2023-10-04T06:09:08Zoai:repositorio.unesp.br:11449/175727Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:01:31.702652Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
title |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
spellingShingle |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations Aguirre, A. R. Integrable Field Theories Integrable Hierarchies |
title_short |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
title_full |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
title_fullStr |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
title_full_unstemmed |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
title_sort |
Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations |
author |
Aguirre, A. R. |
author_facet |
Aguirre, A. R. Retore, A. L. [UNESP] Gomes, J. F. [UNESP] Spano, N. I. [UNESP] Zimerman, A. H. [UNESP] |
author_role |
author |
author2 |
Retore, A. L. [UNESP] Gomes, J. F. [UNESP] Spano, N. I. [UNESP] Zimerman, A. H. [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Itajubá Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Aguirre, A. R. Retore, A. L. [UNESP] Gomes, J. F. [UNESP] Spano, N. I. [UNESP] Zimerman, A. H. [UNESP] |
dc.subject.por.fl_str_mv |
Integrable Field Theories Integrable Hierarchies |
topic |
Integrable Field Theories Integrable Hierarchies |
description |
The integrability of the N= 1 supersymmetric modified Korteweg de-Vries (smKdV) hierarchy in the presence of defects is investigated through the construction of its super Bäcklund transformation. The construction of such transformation is performed by using essentially two methods: the Bäcklund-defect matrix approach and the superfield approach. Firstly, we employ the defect matrix associated to the hierarchy which turns out to be the same for the supersymmetric sinh-Gordon (sshG) model. The method is general for all flows and as an example we derive explicitly the Bäcklund equations in components for the first few flows of the hierarchy, namely t3 and t5. Secondly, the supersymmetric extension of the Bäcklund transformation in the superspace formalism is constructed for those flows. Finally, this super Bäcklund transformation is employed to introduce type I defects for the supersymmetric mKdV hierarchy. Further integrability aspects by considering modified conserved quantities are derived from the defect matrix. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-12-11T17:17:15Z 2018-12-11T17:17:15Z 2018-01-01 |
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/10.1007/JHEP01(2018)018 Journal of High Energy Physics, v. 2018, n. 1, 2018. 1029-8479 1126-6708 http://hdl.handle.net/11449/175727 10.1007/JHEP01(2018)018 2-s2.0-85040197266 2-s2.0-85040197266.pdf 8215976645016606 |
url |
http://dx.doi.org/10.1007/JHEP01(2018)018 http://hdl.handle.net/11449/175727 |
identifier_str_mv |
Journal of High Energy Physics, v. 2018, n. 1, 2018. 1029-8479 1126-6708 10.1007/JHEP01(2018)018 2-s2.0-85040197266 2-s2.0-85040197266.pdf 8215976645016606 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics 1,227 1,227 |
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.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_ |
1808128306023759872 |