Non-anticommutative ABJ Theory

Abstract

In this paper we will discuss non-anticommutative deformations of the harmonic superspace. We will analyse the non-anticommutative deformation of the superspace that break the supersymmetry from N =3 supersymmetry to N =2 supersymmetry. We will then study the ABJ theory in this non-anticommutative superspace. This deformed ABJ theory will be shown to posses N =5 supersymmetry.

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