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arXiv · hep-th/9510235

Conserved currents for unconventional supersymmetric couplings of self-dual gauge fields

Ch. Devchand·V. Ogievetsky
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Abstract

Self-dual gauge potentials admit supersymmetric couplings to higher-spin fields satisfying interacting forms of the first order Dirac--Fierz equation. The interactions are governed by conserved currents determined by supersymmetry. These super-self-dual Yang-Mills systems provide on-shell supermultiplets of arbitrarily extended super-Poincaré algebras; classical consistency not setting any limit on the extension N. We explicitly display equations of motion up to the $N=6$ extension. The stress tensor, which vanishes for the $N\le 3$ self-duality equations, not only gets resurrected when $N=4$, but is then a member of a conserved multiplet of gauge-invariant tensors.

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Ch. Devchand, V. Ogievetsky. 1995-10-31. Conserved currents for unconventional supersymmetric couplings of self-dual gauge fields. https://doi.org/10.1016/0370-2693(95)01422-5

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