English

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

High Energy Physics - Theory 2024-02-16 v1

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)U(2) ultraviolet global symmetry is often enhanced in the infrared, for instance to O(4)O(4) or SU(3)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=4εD = 4 - \varepsilon expansion shows that the U(2)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 N=2\mathcal{N} = 2 sQED with 4 flavors that exhibits enhanced SO(6)SO(6) symmetry.

Keywords

Cite

@article{arxiv.1804.05707,
  title  = {N=1 QED in 2+1 dimensions: Dualities and enhanced symmetries},
  author = {Francesco Benini and Sergio Benvenuti},
  journal= {arXiv preprint arXiv:1804.05707},
  year   = {2024}
}

Comments

25 pages, no figures