English

An action for N=4 supersymmetric self-dual Yang-Mills theory

High Energy Physics - Theory 2009-10-28 v1

Abstract

The N=4N=4 supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature (2,2)(2,2) is formulated in harmonic superspace. The on-shell constraints of the theory are reformulated in the equivalent form of vanishing curvature conditions for three gauge connections (one harmonic and two space-time). The constraints are then obtained as variational equations from a superspace action of the Chern-Simons type. The action is manifestly SO(2,2)SO(2,2) invariant. It can be viewed as the Lorentz-covariant form of the light-cone superfield action proposed by Siegel.

Keywords

Cite

@article{arxiv.hep-th/9509099,
  title  = {An action for N=4 supersymmetric self-dual Yang-Mills theory},
  author = {E. Sokatchev},
  journal= {arXiv preprint arXiv:hep-th/9509099},
  year   = {2009}
}