$\mathcal{N}{=}1$ dualities in 2+1 dimensions

Understand

We consider minimally supersymmetric QCD in 2+1 dimensions, with Chern-Simons and superpotential interactions.

• We propose an infrared $SU(N) \leftrightarrow U(k)$ duality involving gauge-singlet fields on one of the two sides.
• It shares qualitative features both with 3d bosonization and with 4d Seiberg duality.
• We provide a few consistency checks of the proposal, mapping the structure of vacua and performing perturbative computations in the $\varepsilon$-expansion.