Extended Supersymmetry and Self-Duality in 2+2 Dimensions

preprint1992arXivOpen access

Abstract

The N=2N=2 supersymmetric {\it self-dual} Yang-Mills theory and the N=4N=4 and N=2N=2 {\it self-dual} supergravities in 2+22+2 space-time dimensions are formulated for the first time. These formulations utilize solutions of the Bianchi identities subject to the super-Yang-Mills or supergravity constraints in the relevant NN-extended superspace with the space-time signature (2,2)(2,2).

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