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

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.

6 pages, latex file

References in corpus (2)

• The N=2(4) string is self-dual N=4 Yang-Mills
• The matreoshka of supersymmetric self-dual theories

Cited by in corpus (5)

• Extended Self-Dual Yang-Mills from the N=2 String
• Interacting Fields of Arbitrary Spin and N>4 Supersymmetric Self-dual Yang-Mills Equations
• $L_{\infty }$-Algebra Models and Higher Chern-Simons Theories
• Supersymmetric Lorentz-Covariant Hyperspaces and self-duality equations in dimensions greater than (4|4)
• Democratic Supersymmetry