Dualities and phases of 3d N = 1 $$ \mathcal{N}=1 $$ SQCD

Abstract We study gauge theories with N = 1 $$ \mathcal{N}=1 $$ 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 superpotentia...

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Bibliographic Details
Main Authors: Changha Choi, Martin Roček, Adar Sharon
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2018)105
Description
Summary:Abstract We study gauge theories with N = 1 $$ \mathcal{N}=1 $$ 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 $$ \mathcal{N}=1 $$ gauge theories with fundamental matter. We also show that these dualities are related to results in N = 2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories, which provides further evidence for them.
ISSN:1029-8479