Disorder operators in Chern-Simons-fermion theories

Abstract

Abstract: Building on the recent progress in solving Chern-Simons-matter theories in the planar limit, we compute the scaling dimensions of a large class of disorder (“monopole”) operators in U(N)k Chern-Simons-fermion theories at all ’t Hooft couplings. We find that the lowest-dimension operator of this sort has dimension (Formula presented.). We comment on the implications of these results to analyzing maps of fermionic disorder operators under 3D bosonization.