Supersymmetry for integrable hierarchies on loop superalgebras

Abstract

The algebraic approach is employed to formulate N=2 supersymmetry transformations in the context of integrable systems based on loop superalgebras $\widehat{\mathrm{sl}}(p+1,p),p\ge 1$ with homogeneous gradation. We work with extended integrable hierarchies, which contain supersymmetric AKNS and Lund-Regge sectors. We derive the one-soliton solution for $p=1$ which solves positive and negative evolution equations of the N=2 supersymmetric model.

Latex, 21 pages

References in corpus (16)

• Tau-functions and Dressing Transformations for Zero-Curvature Affine Integrable Equations
• Fredholm determinants and the mKdV/sinh-Gordon hierarchies
• The Extended Supersymmetrization of the Multicomponent Kadomtsev--Petviashvilli Hierarchy
• New Integrable Extensions of N=2 KdV and Boussinesq Hierarchies
• On generating functions in the AKNS hierarchy
• N=2 KP and KdV hierarchies in extended superspace
• Supersymmetric Drinfeld-Sokolov reduction
• The complex Sine-Gordon equation as a symmetry flow of the AKNS Hierarchy
• Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation
• Manifestly Supersymmetric Lax Integrable Hierarchies
• N=2 local and N=4 nonlocal reductions of supersymmetric KP hierarchy in N=2 superspace
• Hidden Virasoro Symmetry of (Soliton Solutions of) the Sine Gordon Theory
• Zero Curvature Formalism for Supersymmetric Integrable Hierarchies in Superspace
• Symmetries of Supersymmetric Integrable Hierarchies of KP Type
• Non-local conservation laws and flow equations for supersymmetric integrable hierarchies
• N=4 Sugawara construction on affine sl(2|1), sl(3) and mKdV-type superhierarchies

Cited by in corpus (4)

• Soliton Solutions for the Super mKdV and sinh-Gordon Hierarchy
• A Class of Mixed Integrable Models
• Supersymmetry of Affine Toda Models as Fermionic Symmetry Flows of the Extended mKdV Hierarchy
• N=2 supersymmetric unconstrained matrix GNLS hierarchies are consistent