# Branes, partition functions and quadratic monopole superpotentials

## TL;DR

This paper classifies 3d $\

## Contribution

It introduces a new duality for 3d $\

## Key findings

- New duality for $U(N_c)$ SQCD with monopole superpotentials
- Matching of three-sphere partition functions confirms the duality
- Predictions of additional dualities involving tensor matter

## Abstract

We obtain the brane setup describing 3d $\mathcal{N}=2$ dualities for $USp(2N_c)$ and $U(N_c)$ SQCD with monopole superpotentials. This classification follows from a complete analysis of affine and twisted affine compactifications from 4d. The analysis leads to a new duality for the unitary case that has been previously overlooked in the literature. We check this by matching of the three sphere partition function of the two sides of this new duality and find a perfect agreement. Furthermore we use the partition function to predict new 3d $\mathcal{N}=2$ dualities for SQCD with monopole superpotentials and tensorial matter.