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

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.

5 pages

References in corpus (4)

• Sphere Partition Functions and the Zamolodchikov Metric
• A non-renormalization theorem for chiral primary 3-point functions
• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• Wilson Loops in N=2 Superconformal Yang-Mills Theory

Cited by in corpus (6)

• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• On the Large $R$-charge Expansion in $\mathcal{N}=2$ Superconformal Field Theories
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Large-N correlation functions in $\mathcal{N}=2$ superconformal QCD
• Two-point correlators in non-conformal $\mathcal{N}=2$ gauge theories
• Compact Conformal Manifolds