Dualities and Phases of 3D N=1 SQCD

TL;DR

This paper investigates the phase structure and dualities of 3D N=1 supersymmetric gauge theories, deriving universal phase diagrams and proposing new dualities supported by perturbative and supersymmetric arguments.

Contribution

It introduces a universal phase diagram for 3D N=1 SQCD and proposes new dualities, extending understanding of supersymmetric gauge theories in three dimensions.

Findings

Universal phase diagrams for 3D N=1 SQCD

New dualities conjectured for theories with fundamental matter

Connections established between N=1 and N=2 supersymmetric theories

Abstract

We study gauge theories with N=1 supersymmetry in 2+1 dimensions. We start by calculating the 1-loop effective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter. Using the 1-loop superpotential, we find a universal form for the phase diagrams of many such gauge theories, which is proven to persist to all orders in perturbation theory using a symmetry argument. This allows us to conjecture new dualities for N=1 gauge theories with fundamental matter. We also show that these dualities are related to results in N=2 supersymmetric gauge theories, which provides further evidence for them.