Manifestly Supersymmetric Lax Integrable Hierarchies

Abstract

A systematic method of constructing manifestly supersymmetric $1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy equations being eigenfunction equations are shown to be automatically invariant under the (extended) supersymmetry. The supersymmetric Lax models existing in the literature are found to be contained (up to a gauge equivalence) in our formalism.

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References in corpus (1)

• The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy

Cited by in corpus (10)

• Supersymmetric KP Hierarchy: ``Ghost'' Symmetry Structure, Reductions and Darboux-Backlund Solutions
• The sAKNS Hierarchy
• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies
• Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace
• The Hamiltonian structure of the N=2 supersymmetric GNLS hierarchy
• Symmetries of Supersymmetric Integrable Hierarchies of KP Type
• Supersymmetry for integrable hierarchies on loop superalgebras
• Canonical gauge equivalences of the sAKNS and sTB hierarchies
• On the Miura and Backlund transformations associated with the supersymmetric Gelfand-Dickey bracket