Defects in the supersymmetric mKdV hierarchy via Bäcklund transformations

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dc.contributor.authorAguirre, A. R.
dc.contributor.authorRetore, A. L. [UNESP]
dc.contributor.authorGomes, J. F. [UNESP]
dc.contributor.authorSpano, N. I. [UNESP]
dc.contributor.authorZimerman, A. H. [UNESP]
dc.contributor.institutionUniversidade Federal de Itajubá
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2018-12-11T17:17:15Z
dc.date.available2018-12-11T17:17:15Z
dc.date.issued2018-01-01
dc.description.abstractThe 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.en
dc.description.affiliationInstituto de Física e Química Universidade Federal de Itajubá, Av. BPS 1303
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.identifierhttp://dx.doi.org/10.1007/JHEP01(2018)018
dc.identifier.citationJournal of High Energy Physics, v. 2018, n. 1, 2018.
dc.identifier.doi10.1007/JHEP01(2018)018
dc.identifier.file2-s2.0-85040197266.pdf
dc.identifier.issn1029-8479
dc.identifier.issn1126-6708
dc.identifier.lattes8215976645016606
dc.identifier.scopus2-s2.0-85040197266
dc.identifier.urihttp://hdl.handle.net/11449/175727
dc.language.isoeng
dc.relation.ispartofJournal of High Energy Physics
dc.relation.ispartofsjr1,227
dc.relation.ispartofsjr1,227
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectIntegrable Field Theories
dc.subjectIntegrable Hierarchies
dc.titleDefects in the supersymmetric mKdV hierarchy via Bäcklund transformationsen
dc.typeArtigo
unesp.author.lattes8215976645016606[5]

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