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arXiv · 1905.05267

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

J. G. Russo
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Abstract

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. The theories seem to undergo a second-order phase transition with divergent susceptibility.

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J. G. Russo. 2019-05-13. Properties of the partition function of ${\cal N}=2$ supersymmetric QCD with massive matter. https://doi.org/10.1007/jhep07(2019)125

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