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Supersymmetric CP^N Sigma Model on Noncommutative Superspace

arXiv:hep-th/0402137 · doi:10.1143/PTP.111.961

Abstract

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

11 pages, refernces added and very minor changes in a few line