Extremal correlators in rank-1 N=2 SCFTs are governed at large charge by a Wishart-Laguerre random matrix model, whose 't Hooft expansion reproduces effective field theory and predicts strong-coupling nonperturbative corrections.
Exact correlation functions in SU(2) N=2 superconformal QCD
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abstract
We report an exact solution of 2- and 3-point functions of chiral primary fields in SU(2) N=2 super-Yang-Mills theory coupled to four hypermultiplets. It is shown that these correlation functions are non-trivial functions of the gauge coupling, obeying differential equations which take the form of the semi-infinite Toda chain. We solve these equations recursively in terms of the Zamolodchikov metric that can be determined exactly from supersymmetric localization on the four-sphere. Our results are verified independently in perturbation theory with a Feynman diagram computation up to 2-loops. This is a short version of a companion paper that contains detailed technical remarks, additional material and aspects of an extension to SU(N) gauge group.
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Extremal Correlators and Random Matrix Theory
Extremal correlators in rank-1 N=2 SCFTs are governed at large charge by a Wishart-Laguerre random matrix model, whose 't Hooft expansion reproduces effective field theory and predicts strong-coupling nonperturbative corrections.