Bäcklund transformation for supersymmetric self-dual theories for semisimple gauge groups and a hierarchy of $A_1$ solutions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, plaintex, IHEP 92-170

Scientific paper

10.1007/BF02173429

We present a B\"acklund transformation (a discrete symmetry transformation) for the self-duality equations for supersymmetric gauge theories in N-extended super-Minkowski space ${\cal M}^{4|4N}$ for an arbitrary semisimple gauge group. For the case of an $A_1$ 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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