The strong-coupling regime of correlators in N = 2 SCFTs

In this thesis we investigate the strong-coupling regime of N = 2 superconformal field theories (SCFTs) by employing matrix model techniques arising from supersymmetric localization. We develop an approach to the interacting matrix models of N = 2 gauge theories which turns out to be extremely efficient to derive expressions valid for all values of the coupling constant for various correlators in the planar limit. We apply this method to N = 2 theories with different matter content and to distinct examples of observables, namely 2- and 3-point correlation functions of local scalar operators, n-point functions of coincident Wilson loops and integrated 4-point functions of local operators. After obtaining exact expressions in the coupling for all these correlators, we analyze their strong-coupling limit exploiting several analytical techniques.