SUSY monopole potentials in 2+1 dimensions

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 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.