Three-point functions in a $$ \mathcal{N} $$ = 2 superconformal gauge theory and their strong-coupling limit

Abstract

Abstract We study the 3-point functions of single-trace scalar operators in a four-dimensional $$ \mathcal{N} $$ N = 2 SYM theory with gauge group SU(N) and matter in the symmetric plus anti-symmetric representation, which has a vanishing β-function. By mapping this computation to the matrix model arising from localization on a 4-sphere we are able to resum the perturbative expansion in the large-N ’t Hooft limit and derive the behavior of the correlators at strong coupling. Finally, by combining our results on the 3-point functions with those on the 2-point functions that have been recently found, we obtain the normalized 3-point coefficients of this conformal field theory at strong coupling and find that they depend in a simple way on the conformal dimensions of the single-trace operators.