Dualties of adjoint QCD3 from branes

• Published in: The journal of high energy physics Vol. 2022; no. 9; pp. 73 - 11
• Main Author: Armoni, Adi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022; Springer Nature B.V; SpringerOpen
• Subjects: Brane Dynamics in Gauge Theories; Branes; Chern-Simons Theories; Classical and Quantum Gravitation; Duality in Gauge Field Theories; Elementary Particles; Fermions; Field theory (physics); High energy physics; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Quantum theory; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Supersymmetry and Duality; Brane Dynamics in Gauge Theories; Duality in Gauge Field Theories; Chern-Simons Theories; Supersymmetry and Duality
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP09(2022)073

A bstract We consider an ‘electric’ U( N ) level k QCD 3 theory with one adjoint Majorana fermion. Inspired by brane dynamics, we suggest that for k ≥ N/ 2 the massive m < 0 theory, in the vicinity of the supersymmetric point, admits a U k − N 2 − 1 2 k + 3 4 N , − k + N 2 ‘magnetic’ dual with one adjoint Majorana fermion. The magnetic theory flows in the IR to a topological U k − N 2 − N , − k + N 2 pure Chern-Simons theory in agreement with the dynamics of the electric theory. When k < N/ 2 the magnetic dual is U N 2 − k 1 2 k + 3 4 N , N with one adjoint Majorana fermion. Depending on the sign of the fermion mass, the magnetic theory flows to either U N 2 − k N , N or U N 2 − k 1 2 N + k , N TQFT. A second magnetic theory, U N / 2 + k 1 2 k − 3 4 N , N , flows to either U N 2 + k − N , − N or U N 2 + k − 1 2 N − k , − N TQFT. Dualities for SO and USp theories with one adjoint fermion are also discussed.