Speaker: Alessandro Pini (HU Berlin)

Title: Wilson loop correlators at strong coupling in 4d N=2 SCFTs

Abstract:

In the first part of the talk we analyse the correlation function between one single-trace scalar operator and a circular Wilson loop in the 4d N = 2 superconformal field theory with gauge group SU(N) and matter transforming in the symmetric and anti-symmetric representations (the so called Type-E theory). By exploiting supersymmetric localization, we resum the perturbative expansion of this correlator in the large-N ’t Hooft limit. Furthermore, using both analytical and numerical techniques, we provide a prediction for the leading term of its strong coupling expansion. While, in the second part of the talk, we consider 4-dimensional N=2 superconformal quiver theories with SU(N)^M gauge group and bi-fundamental matter and we evaluate correlation functions of n coincident Wilson loops in the planar limit of the theory. Exploiting specific untwisted/twisted combinations of these operators and using supersymmetric localization, we are able to resum the whole perturbative expansion and find exact expressions for these correlators that are valid for all values of the ’t Hooft coupling. Moreover, we analytically derive the leading strong coupling behaviour of the correlators, showing that they obey a remarkable simple rule.

This talk is mostly based on the following articles arXiv:2303.08210 [hep-th], arXiv:2308.03848 [hep-th]