# Charting the phase diagram of QCD$_\mathbf{3}$

## TL;DR

This paper explores the complex phase diagram of 3D $SU(N)$ gauge theories with Chern-Simons terms and fundamental fermions, revealing new structures and consistency with dualities.

## Contribution

It proposes a detailed phase diagram for $SU(N)$ gauge theories with Chern-Simons terms and fermions, extending previous results and analyzing dualities and scalar potentials.

## Key findings

- Rich phase structure with multiple phases identified
- Consistency with boson/fermion dualities demonstrated
- Extended the known phase diagram in new parameter regimes

## Abstract

We study the phase diagram of $SU(N)$ gauge theory in three space-time dimensions with a Chern-Simons term at level $k$, coupled to two sets of fundamental fermions with masses $m_1$ and $m_2$, respectively. The two-dimensional phase diagram that we propose shows a rich structure and widens in an interesting way previous results in the literature, to which it reduces in some limits. We present several checks of our proposal, including consistency with boson/fermion dualities. In this respect, we extensively comment on the structure of the scalar potential which is needed on the bosonic side of the duality.