N=2 supersymmetric unconstrained matrix GNLS hierarchies are consistent

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dc.creatorDelduc, F.
dc.creatorLechtenfeld, O.
dc.creatorSorin, A. S.
dc.date2007-08-08
dc.date.accessioned2026-07-07T11:41:45Z
dc.date.available2026-07-07T11:41:45Z
dc.descriptionWe develop a pseudo-differential approach to the N=2 supersymmetric unconstrained matrix (k|n,m)-Generalized Nonlinear Schroedinger hierarchies and prove consistency of the corresponding Lax-pair representation (nlin.SI/0201026). Furthermore, we establish their equivalence to the integrable hierarchies derived in the super-algebraic approach of the homogeneously-graded loop superalgebra sl(2k+n|2k+m)\otimes C[{lambda},{lambda}^{-1}] (nlin.SI/0206037). We introduce an unconventional definition of N=2 supersymmetric strictly pseudo-differential operators so as to close their algebra among themselves.
dc.description12 pages, LaTex
dc.identifierhttps://arxiv.org/abs/0708.1125
dc.identifierhttp://arxiv.org/abs/0708.1125
dc.identifierLett.Math.Phys.84:109-122,2008
dc.identifierdoi:10.1007/s11005-008-0237-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200649
dc.subjectExactly Solvable and Integrable Systems
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleN=2 supersymmetric unconstrained matrix GNLS hierarchies are consistent
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