Year: 2024
Type: article
Abstract: A bstract It was recently shown that 3 d $$ \mathcal{N} $$ N = 1 supersymmetric Wess-Zumino models can be studied in the ϵ -expansion by analytically continuing the number of fermionic degrees of freedom to be half-integer. In this work we study the extension of this strategy to gauge theories. We consider U(1) gauge theories with N g neutral Majorana fermions χ a , N f charge-1 bosons ϕ i and N f × N g charge-1 Dirac fermions ψ ia in the d = 4 − 2 ϵ expansion. Analytically continuing to N g = $$ \frac{1}{2} $$ 1 2 schematically matches the Lagrangian and matter content of 3 d $$ \mathcal{N} $$ N = 1 SQED, and we check whether this match can be made rigorous. We compute anomalous dimensions of χ a up to two loops and of meson operators up to one loop at the fixed points, and compare to expectations from SUSY. While we find obstructions to SUSY at small N f , at large N f the observables approach the expected values at a SUSY fixed point. This may allow for checks of 3 d $$ \mathcal{N} $$ N = 1 IR dualities between gauge theories.
Source: Journal of High Energy Physics
Authors: Yacov-Nir Breitstein, Adar Sharon
Institutions: Weizmann Institute of Science, State University of New York
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4403754364