N=2 and N=4 Supersymmetric mKdV and sinh-Gordon Hierarchies

dc.creatorAratyn, H.
dc.creatorGomes, J. F.
dc.creatorYmai, L. H.
dc.creatorZimerman, A. H.
dc.date2004-09-16
dc.date.accessioned2026-07-07T04:17:28Z
dc.date.available2026-07-07T04:17:28Z
dc.descriptionIntegrable models with higher N=2 and N=4 supersymmetries are formulated on reductions of twisted loop superalgebras $\hat{sl}(2|2)$ and $\hat{sl}(4|4) $ endowed with principal gradation. In case of the $\hat{sl}(4|4)$ loop algebra a sequence of progressing reductions leads both to the N=4 and N=2 supersymmetric mKdV and sinh-Gordon equations. The reduction scheme is induced by twisted automorphism and allows via dressing approach to associate to each symmetry flow of half-integer degree a supersymmetry transformation involving only local expressions in terms of the underlying fields.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0409171
dc.identifierhttp://arxiv.org/abs/hep-th/0409171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52771
dc.subjectHigh Energy Physics - Theory
dc.titleN=2 and N=4 Supersymmetric mKdV and sinh-Gordon Hierarchies
dc.typetext

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