Chern-Simons-Matter Theory

In this paper we will deform a ABJ theory in $\mathcal{N}=3$ harmonic superspace without breaking any supersymmetry. We will analyse this ABJ theory and show that it retains the full $\mathcal{N}=6$ supersymmetry. We will then analyse the gauge fixing and ghost terms for this model in various gauges. We will also analyse the corresponding BRST and anti-BRST symmetries of this model.