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

Abstract

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

arXiv comment9 pages. v2: Reference added, matches published version in Phys. Rev. D

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• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Fermi seas from Bose condensates in Chern-Simons matter theories and a bosonic exclusion principle
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• The Hilbert Space of large $N$ Chern-Simons matter theories
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter
• Perturbative aspects of mass-deformed N=3 Chern-Simons-matter theory