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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Defects in the super symmetric mKdV hierarchy via Backlund transformations

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Autor(es):
Aguirre, A. R. [1] ; Retore, A. L. [2] ; Gomes, J. F. [2] ; Spano, N. I. [2] ; Zimerman, A. H. [2]
Número total de Autores: 5
Afiliação do(s) autor(es):
[1] Univ Fed Itajuba, Inst Fis & Quim, Ave BPS 1303, BR-37500903 Itajuba, MG - Brazil
[2] Univ Estadual Paulista, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, Bloco 2, BR-01140070 Sao Paulo - Brazil
Número total de Afiliações: 2
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; n. 1 JAN 4 2018.
Citações Web of Science: 2
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
Linha de fomento: Bolsas no Brasil - Doutorado