Aspects of ABJ Theory

In this paper we will analyse the deformation of a ABJ theory in harmonic superspace. So, we will first discuss deformations of the harmonic superspace by a graviphoton background and then study the ABJ theory in this deformed harmonic superspace. This deformed ABJ theory will be shown to posses $\mathcal{N} =6$ supersymmetry. We also discuss the BRST symmetry of this theory.