# SUSY monopole potentials in 2+1 dimensions

## TL;DR

This paper explores monopole potentials in 2+1D supersymmetric gauge theories, demonstrating the existence of monopole-modified theories with dualities even when these potentials are irrelevant, supported by various consistency checks.

## Contribution

It introduces a monopole-modified theory in 2+1D N=2 SQCD that exists with an irrelevant monopole potential and establishes its dualities and UV completion.

## Key findings

- Existence of monopole-modified theories with dualities despite irrelevant monopole potentials.
- Provision of a UV completion and consistency checks such as mass deformations and partition functions.
- Identification of Tm as the S-duality wall of 4D N=2 SQCD.

## 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(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.