Properties of the partition function of $$ \mathcal{N}=2 $$ supersymmetric QCD with massive matter

Abstract

Abstract We study the different quantum phases that occur in massive $$ \mathcal{N}=2 $$ N = 2 supersymmetric QCD with gauge groups SU(2) and SU(3) as the coupling Λ/M is gradually increased from 0 to infinity. The phases can be identified by computing the exact partition function by saddle-points, combining supersymmetric localization and the Seiberg-Witten formalism. In all cases, we find two phases, a weak coupling and a strong coupling phase, separated by a critical point described by a superconformal field theory or involving superconformal sectors. In crossing the critical point, the dominant saddle-point hops from one singularity of the curve to another one. The theories seem to undergo a second-order phase transition with divergent susceptibility.