Supersymmetrization of Self-Dual Yang-Mills Theory

Abstract：

We give an N=1 supersymmetrization of a four-dimensional seif-dual Yang-Mills theory based on the product superspace (1,1)×(1,1). The model is shown to be equivalent to the zero curvature condition on a superplane parametrized by a point in the complex projective superspace CP^3,4. The linear system is given according to this geometrical interpretation, and the effective action which governs the dynamics of the model is also proposed.