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Manifestly Supersymmetric Lax Integrable Hierarchies

High Energy Physics - Theory 2009-10-30 v1 Exactly Solvable and Integrable Systems solv-int

Abstract

A systematic method of constructing manifestly supersymmetric 1+11+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.

Keywords

Cite

@article{arxiv.hep-th/9608107,
  title  = {Manifestly Supersymmetric Lax Integrable Hierarchies},
  author = {H. Aratyn and C. Rasinariu},
  journal= {arXiv preprint arXiv:hep-th/9608107},
  year   = {2009}
}

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