  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(Nc) SQCD with Nf flavors and N=2 supersymmetry, we show
that even when the monopole potential is irrelevant, the monopole-modified
theory Tm can exist and enjoy Seiberg-like dualities. We provide a
renormalizable UV completion of Tm and an electric-magnetic dual description
Tm'. We subject our proposal to various consistency checks such as mass
deformations and three-sphere partition functions checks. We observe that Tm is
the S-duality wall of 4D N=2 SQCD. We also consider monopole-deformed theories
with Chern-Simons couplings and their duals.
