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Defects in the super symmetric mKdV hierarchy via Backlund transformations

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Autor(es):
Aguirre, A. R. ; Retore, A. L. ; Gomes, J. F. ; Spano, N. I. ; Zimerman, A. H.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 1, p. 39-pg., 2018-01-04.
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 Backlund transformation. The construction of such transformation is performed by using essentially two methods: the Backlund-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 Backlund equations in components for the first few flows of the hierarchy, namely t(3) and t(5). Secondly, the supersymmetric extension of the Backlund transformation in the superspace formalism is constructed for those flows. Finally, this super Backlund 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. (AU)

Processo FAPESP: 15/00025-9 - Transformações de Backlund em hierarquias integráveis, sólitons e defeitos integráveis
Beneficiário:Ana Lúcia Retore
Modalidade de apoio: Bolsas no Brasil - Doutorado