Exact correlation functions in SU(2) N=2 superconformal QCD

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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.