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arXiv · hep-th/9608166

Two-dimensional Superintegrable Mappings and Integrable Hierarchies in the $(2|2)$ Superspace

A. N. Leznov·A. S. Sorin
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Abstract

The formalism of integrable mappings is applied to the problem of constructing hierarchies of $(1+2)$ dimensional integrable systems in the $(2|2)$ superspace. We find new supersymmetric integrable mappings and corresponding to them new hierarchies of integrable systems which, at the reduction to the $(1|2)$ superspace, possess $N=2$ supersymmetry. The general formulae obtained for the hierarchies are used to explicitly derive their first nontrivial equations possessing a manifest $N=2$ supersymmetry. New bosonic substitutions and hierarchies are obtained from the supersymmetric counterparts in the bosonic limit.

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A. N. Leznov, A. S. Sorin. 1996-09-06. Two-dimensional Superintegrable Mappings and Integrable Hierarchies in the $(2|2)$ Superspace. https://doi.org/10.1016/s0370-2693(96)01309-3

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