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

Understand

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.