SUSY monopole potentials in 2+1 dimensions

• Published in: The journal of high energy physics Vol. 2017; no. 8; pp. 1 - 35
• Main Authors: Benini, Francesco, Benvenuti, Sergio, Pasquetti, Sara
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2017; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Couplings; Deformation; Duality in Gauge Field Theories; Elementary Particles; Flavors; High energy physics; Monopoles; Operators (mathematics); Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supersymmetric Gauge Theory; Supersymmetry; Supersymmetry and Duality; Duality in Gauge Field Theories; Supersymmetry and Duality; Supersymmetric Gauge Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP08(2017)086

A bstract Gauge theories in 2+1 dimensions can admit monopole operators in the potential. Starting with the theory without monopole potential, if the monopole potential is relevant there is an RG flow to the monopole-deformed theory. Here, focusing on U( N c ) SQCD with N f flavors and N = 2 supersymmetry, we show that even when the monopole potential is irrelevant, the monopole-modified theory T M can exist and enjoy Seiberg-like dualities. We provide a renormalizable UV completion of T M and an electric-magnetic dual description T M ′ . We subject our proposal to various consistency checks such as mass deformations and S b 3 partition functions checks. We observe that T M is the S-duality wall of 4D N = 2 SQCD. We also consider monopole-deformed theories with Chern-Simons couplings and their duals.