Charging non-Abelian Higgs theories

We extend the fixed-charge semiclassical approach to compute conformal field theory (CFT) data for generic non-Abelian Higgs dynamics by also identifying the proper family of related operators. As an example, we consider the U(N)×U(N) non-Abelian Higgs theory in four minus epsilon dimensions. We observe that the semiclassical method and state-operator correspondence can be used for complex CFTs, which are naturally related to walking dynamics