Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory

Abstract

We study a three-dimensional $\mathcal{N}=2$ supersymmetric $G_2$ gauge theory with and without fundamental matters. We find that a classical Coulomb branch of the moduli space of vacua is partly lifted by monopole-instantons and the quantum Coulomb moduli space would be described by a complex one-dimensional space. Depending on the number of the matters in a fundamental representation, the low-energy dynamics of the theory shows various phases like s-confinement or quantum merging of the Coulomb and the Higgs branches. We also investigate superconformal indices as an independent check of our analysis.

v2 typo corrected

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• Counting Gauge Invariants: the Plethystic Program
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• Magnetic Monopole Dynamics, Supersymmetry, and Duality
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Cited by in corpus (4)

• "Chiral'' and "Non-chiral'' 3d Seiberg duality
• 3d exceptional gauge theories and boundary confinement
• Exact results in 3d $\mathcal{N}=2$ $Spin(7)$ gauge theories with vector and spinor matters
• Boundary lines and Askey-Wilson type moments