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 \( \mathcal{N} \) = 2 sQED with 4 flavors that exhibits enhanced SO(6) symmetry.
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Benini, F., Benvenuti, S. \( \mathcal{N} \) = 1 QED in 2 + 1 dimensions: dualities and enhanced symmetries. J. High Energ. Phys. 2021, 176 (2021). https://doi.org/10.1007/JHEP05(2021)176
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DOI: https://doi.org/10.1007/JHEP05(2021)176