Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions

TL;DR

This paper analyzes the infrared phases of two-node $ ext{N}=1$ supersymmetric quiver theories in 2+1 dimensions, revealing phase structures and proposing dualities based on Chern-Simons level signs.

Contribution

It classifies IR phases of $ ext{N}=1$ quiver theories in 2+1D and conjectures new dualities depending on Chern-Simons levels and symmetries.

Findings

Phase diagrams depend on Chern-Simons level signs.

Conjectured dualities between quiver theories and adjoint QCD.

Discussion of time reversal symmetric quivers.

Abstract

We consider the IR phases of two-node quiver theories with $\mathcal{N}\,=\,1$ supersymmetry in $d\,=\,2\,+\,1$ dimensions. It turns out that the discussion splits into two main cases, depending on whether the Chern-Simons levels associated with two nodes have the same sign, or the opposite signs, with the latter case being more non-trivial. The determination of the phase diagrams allows us to conjecture certain infrared dualities involving either two quiver theories, or a quiver and adjoint QCD. We also provide a short discussion of quivers possessing time reversal symmetry.