Phases of N $$ \mathcal{N} $$ = 1 quivers in 2 + 1 dimensions

Abstract

Abstract We consider the IR phases of two-node quiver theories with N $$ \mathcal{N} $$ = 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 the 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 on quivers possessing time reversal symmetry.

Keywords

• Duality in Gauge Field Theories
• Supersymmetry and Duality
• Topological States of Matter
• Chern-Simons Theories