Abstract
Gauge theories in 2+1 dimensions can admit monopole operators in the potential. Starting with the theory without monopole potential, if the monopole potential is relevant there is an RG flow to the monopole-deformed theory. Here, focusing on U(N c ) SQCD with N f flavors and \( \mathcal{N}=2 \) supersymmetry, we show that even when the monopole potential is irrelevant, the monopole-modified theory \( {\mathcal{T}}_{\mathfrak{M}} \) can exist and enjoy Seiberg-like dualities. We provide a renormalizable UV completion of \( {\mathcal{T}}_{\mathfrak{M}} \) and an electric-magnetic dual description \( {\mathcal{T}}_{\mathfrak{M}}^{\prime } \). We subject our proposal to various consistency checks such as mass deformations and S 3 b partition functions checks. We observe that \( {\mathcal{T}}_{\mathfrak{M}} \) is the S-duality wall of 4D \( \mathcal{N}=2 \) SQCD. We also consider monopole-deformed theories with Chern-Simons couplings and their duals.
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Benini, F., Benvenuti, S. & Pasquetti, S. SUSY monopole potentials in 2+1 dimensions. J. High Energ. Phys. 2017, 86 (2017). https://doi.org/10.1007/JHEP08(2017)086
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DOI: https://doi.org/10.1007/JHEP08(2017)086