Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model

In this work we study the three-dimensional $\mathcal{N}=2$ supersymmetric Chern-Simons-matter model in a noncommutative space-time. We construct the action of the noncommutative $U(N)$ non-Abelian model in terms of explicit $\mathcal{N}=2$ supervariables by dimensionally reducing a four-dimensional ${\cal N}=1$supermultiplet\mathrm{.}Wealsoobtaintheon-shell${\cal N}=2$ supersymmetric model writing it in terms of $\mathcal{N}=1$ superfields. In the noncommutative Abelian case, we show that linear UV divergences are cancelled in Feynman diagrams and logarithmic divergences are absent up to one-loop order, stating that our model is free of UV/IR mixing.