Joint Theory Seminar: Paolo Vallarino

Title: Integrated correlators in a SU(N) N=2 SYM theory with fundamental flavors

Abstract: In recent years the study of integrated four-point functions of local operators in four-dimensional superconformal gauge theories has received significant attention for two reasons: supersymmetric localization enables to find exact results for these correlation functions and they provide important constraints on the dual scattering amplitudes of closed and open string states.  
In this taIk, after reviewing integrated correlators in N=4 SYM theory, I will discuss recent developments in the study of integrated four-point functions in a N=2 superconformal field theory with SU(N) gauge group and matter in the fundamental representation. As already mentioned, exploiting supersymmetric localization it is possible to map the computation of these correlators 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, showing how to extract analytically the strong-coupling expansion of the integrated correlators from these exact expressions.