Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of A1 solutions
Ch. Devchand, A. N. Leznov
Abstract
We present a Bäcklund transformation (a discrete symmetry transformation) for the self-duality equations for supersymmetric gauge theories in N-extended super-Minkowski space M4|4N for an arbitrary semisimple gauge group. For the case of an A1 gauge algebra we integrate the transformation starting with a given solution and iterating the process we construct a hierarchy of explicit solutions.
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