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Bäcklund Transformation for Supersymmetric Self-Dual Theories for Semisimple Gauge Groups and a Hierarchy of Ai Solutions

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Abstract

We present a Bdcklund 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 anA 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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Author notes

  1. Ch. Devchand

    Present address: LTPh, JINR., P.O. Box 79, Head Post Office, 101000, Moscow, Russia

Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Russia

    Ch. Devchand

  2. Institute for High Energy Physics, 142284, Protvino, Russia

    A. N. Leznov

Authors
  1. Ch. Devchand
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  2. A. N. Leznov
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Devchand, C., Leznov, A.N. Bäcklund Transformation for Supersymmetric Self-Dual Theories for Semisimple Gauge Groups and a Hierarchy of Ai Solutions. Commun.Math. Phys. 160, 551–561 (1994). https://doi.org/10.1007/BF02173429

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  • DOI: https://doi.org/10.1007/BF02173429

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