Resurgence of Localizable Observables in Supersymmetric Gauge Theories Seminar

To study the weakly coupled regime of some given quantum theory we often make use of perturbative expansions of the physical quantities of interest. But such expansions are often divergent, with zero radius of convergence, and defined only as asymptotic series. To capture the non-perturbative effects behind these divergences one can then use resurgence analysis. Resurgence has been successfully applied to the study of many quantum observables, from energy eigenvalues and ambiguity cancelations in quantum mechanics to the free energies of matrix models and topological strings. Presently, after a brief discussion of resurgence techniques, we will focus of observables of certain gauge theories which have a finite dimensional matrix model representation via localization techniques. We will discuss their asymptotic properties, and show how resurgence analysis can provide great insight into the non-pertubative features of those observables.