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

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

1995-10-31

arxiv.org/abs/hep-th/9510235v1

Phys.Lett. B367 (1996) 140-144

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, latex file

Scientific paper

10.1016/0370-2693(95)01422-5

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-Poincar\'e 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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