| Full text | |
| Author(s): |
Aguirre, A. R.
;
Retore, A. L.
;
Gomes, J. F.
;
Spano, N. I.
;
Zimerman, A. H.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Journal of High Energy Physics; v. N/A, n. 1, p. 39-pg., 2018-01-04. |
| Abstract | |
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) | |
| FAPESP's process: | 15/00025-9 - Backlund transformations in integrable hierarchies, solitons and integrable defects |
| Grantee: | Ana Lúcia Retore |
| Support Opportunities: | Scholarships in Brazil - Doctorate |