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The maximal extension of supersymmetric Chern-Simons theory coupled tofundamental matter has $\mathcal{N} = 3$ supersymmetry. In this short note, weprovide the explicit form of the action for the mass-deformed $\mathcal{N} = 3$supersymmetric $U(N)$ Chern-Simons-Matter theory. The theory admits a uniquetriplet mass deformation term consistent with supersymmetry. We explicitlyconstruct the mass-deformed $\mathcal{N} = 3$ theory in $\mathcal{N} = 1$superspace using a fundamental and an anti-fundamental superfield.

Mass-deformed $\mathcal{N} = 3$ Supersymmetric Chern-Simons-Matter Theory