Supersymmetric CPN Sigma Model on Noncommutative Superspace

Abstract

We construct a closed form of the action of the supersymmetric CPN sigma model on noncommutative superspace in four dimensions. We show that this model has N=1/2 supersymmetry and that the transformation law is not modified. The supersymmetric CPN sigma model on noncommutative superspace in two dimensions is obtained by dimensional reducing the model in four dimensions.

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