QCD3 dualities and the F-theorem

Abstract

Abstract There has recently been a surge of new ideas and results for 2+1 dimensional gauge theories. We consider a recently proposed duality for 2+1 dimensional QCD, which predicts a symmetry-breaking phase. Using the F-theorem, we find bounds on the range of parameters for which the symmetry-breaking phase (and the corresponding duality) can occur. We find exact bounds for an SU(2) gauge theory, and approximate bounds for an SU(N) gauge theory with N > 2.

Keywords

• Duality in Gauge Field Theories
• Chern-Simons Theories
• Supersymmetric Gauge Theory