Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2018)105
Keywords
Duality in Gauge Field Theories; Chern-Simons Theories; Supersymmetric Gauge Theory
Categories
Funding
- NSF [PHY1620628]
- Israel Science Foundation center for excellence grant
- I-CORE program of the Planning and Budgeting Committee
- Israel Science Foundation [1937/12]
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We study gauge theories with N = 1 supersymmetry in 2+ 1 dimensions. We start by calculating the 1-loop e ff ective superpotential for matter in an arbitrary representation. We then restrict ourselves to gauge theories with fundamental matter. Using the 1-loop superpotential, we fi nd 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.
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