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

TL;DR

This paper provides an exact solution for 2- and 3-point functions of chiral primary fields in SU(2) N=2 superconformal QCD, revealing their dependence on the gauge coupling and solving related differential equations.

Contribution

It introduces an exact recursive method to compute correlation functions in SU(2) N=2 superconformal QCD using supersymmetric localization and Toda chain equations.

Findings

Correlation functions depend non-trivially on the gauge coupling.

Differential equations for correlation functions are solved recursively.

Results are confirmed by perturbative 2-loop Feynman diagram calculations.

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.