N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries

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 $D=4-\epsilon$ expansion shows that the $U(2)$ preserving superpotential deformations of the sQED (modulo tuning mass terms to zero) are irrelevant, so the fixed points with enhanced symmetry are stable. We also construct an example of $\mathcal{N}=2$ sQED with 4 flavors that exhibits enhanced $SO(6)$ symmetry.

25 pages, no figures

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Cited by in corpus (9)

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• Five loop renormalization of the Wess-Zumino model
• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• Full Phase Diagram of a UV Completed $\mathcal{N}=1$ Yang-Mills-Chern-Simons Matter Theory
• Mildly Flavoring Domain Walls in Sp(N) SQCD
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Emergent Supersymmetry at Large $N$
• Aspects of 4d supersymmetric dynamics and geometry