Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling

Abstract

We study 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. 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 and we compare this prediction to numerical Padé resummations of the perturbative series.

Integrated correlators at strong coupling in an orbifold of $$ \mathcal{N} $$ = 4 SYM

“…Then, starting from the aforementioned perturbative series, we can construct a Padé approximant that enables us to extend the series beyond its radius of convergence, which is located at λ ≃ π 2 , and extract information in the strong-coupling regime. A particular choice, which has proven to be useful for various observables (see, for example [70,71]), is provided by a diagonal conformal Padé approximant. This means that before computing the Padé approximant, we perform a conformal map, namely…”