Speaker
Description
In this talk, I will analysis special correlation functions of chiral primary half-BPS operators in four-dimensional N=2 superconformal circular quiver theories. Supersymmetric localization reduces these observables to matrix integrals which, in the planar limit, can be expressed as certain Fredholm determinants, known in this context as generalized Tracy–Widom distribution. This representation provides analytic control over a wide range of parameters, from weak to strong coupling and in various limits involving the number of nodes and operator dimensions. At strong coupling, the standard semi-classical AdS/CFT expansion breaks down in the long-quiver limit. By systematically including perturbative corrections in inverse ’t Hooft coupling together with an infinite tower of nonperturbative, exponentially suppressed terms, we obtain a remarkably simple closed expression for the correlators. The result displays exponential decay with node separation and admits a natural interpretation in terms of a five-dimensional effective theory. In this framework, we extract the spectrum of excitations propagating along the emergent fifth dimension, finding it to be determined by the zeros of Bessel functions.
