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

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

1995-09-18

arxiv.org/abs/hep-th/9509099v1

Phys.Rev. D53 (1996) 2062-2070

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1103/PhysRevD.53.2062

The $N=4$ supersymmetric self-dual Yang-Mills theory in a four- dimensional space with signature $(2,2)$ 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 $SO(2,2)$ invariant. It can be viewed as the Lorentz-covariant form of the light-cone superfield action proposed by Siegel.

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