Speaker: Paolo Vallarino (Universita di Torino)

Title: Exact results in 4d superconformal gauge theories

Abstract:
In this talk I will firstly discuss recent developments in the study of 3-point functions of chiral primary operators in four-dimensional \mathcal{N} = 2 quiver gauge theories. Using supersymmetric localization, it is possible to map the computation of these correlation functions to an interacting matrix model and obtain expressions that are valid for any value of the ’t Hooft coupling in the planar limit of the theory. In particular, I will focus on the strong-coupling regime, where these expressions allow us to compute the leading and subleading orders of the correlators in an analytic way. Finally I will also discuss another kind of exact result valid for all values of the coupling, recently obtained through localization for a class of integrated 4-point functions of superprimary operators in \mathcal{N} = 4 Super Yang-Mills theory with arbitrary gauge groups.