Manifestly Supersymmetric Lax Integrable Hierarchies

Details Manifestly Supersymmetric Lax Integrable Hierarchies Manifestly Supersymmetric Lax Integrable Hierarchies

1996-08-15

arxiv.org/abs/hep-th/9608107v1

Phys.Lett. B391 (1997) 99-106

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 10 pgs

Scientific paper

10.1016/S0370-2693(96)01463-3

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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