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

Understand

We study the different quantum phases that occur in massive ${\cal N}=2$ supersymmetric QCD with gauge groups $SU(2)$ and $SU(3)$ as the coupling $\Lambda/M$ 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.