Easy-plane QED3’s in the large Nf limit

Abstract

Abstract We consider Quantum Electrodynamics in 2 + 1 dimensions with N f fermionic or bosonic flavors, allowing for interactions that respect the global symmetry U(N f /2)2. There are four bosonic and four fermionic fixed points, which we analyze using the large N f expansion. We systematically compute, at order O(1/N f ), the scaling dimensions of quadratic and quartic mesonic operators. We also consider Quantum Electrodynamics with minimal supersymmetry. In this case the large N f scaling dimensions, extrapolated at N f = 2, agree quite well with the scaling dimensions of a dual supersymmetric Gross-Neveu-Yukawa model. This provides a quantitative check of the conjectured duality.