N $$ \mathcal{N} $$ = 1 QED in 2 + 1 dimensions: dualities and enhanced symmetries

Abstract

Abstract We consider three-dimensional sQED with 2 flavors and minimal supersymmetry. We discuss various models which are dual to Gross-Neveu-Yukawa theories. The U(2) ultraviolet global symmetry is often enhanced in the infrared, for instance to O(4) or SU(3). This is analogous to the conjectured behaviour of non-supersymmetric QED with 2 flavors. A perturbative analysis of the Gross-Neveu-Yukawa models in the D = 4 − ε expansion shows that the U(2) preserving superpotential deformations of the sQED (mod- ulo tuning mass terms to zero) are irrelevant, therefore the fixed points with enhanced symmetry are stable. We also construct an example of N $$ \mathcal{N} $$ = 2 sQED with 4 flavors that exhibits enhanced SO(6) symmetry.

Keywords

• Duality in Gauge Field Theories
• Supersymmetric Gauge Theory