Resurgent Analysis of Localizable Observables in Supersymmetric Gauge Theories

Understand

Localization methods have recently led to a plethora of new exact results in supersymmetric gauge theories, as certain observables may be computed in terms of matrix integrals.

• These can then be evaluated by making use of standard large N techniques, or else via perturbative expansions in the gauge coupling.
• Either approximation often leads to observables given in terms of asymptotic series, which need to be properly defined in order to obtain nonperturbative results.
• At the same time, resurgent analysis has recently been successfully applied to several problems, e.g., in quantum, field and string theories, precisely to overcome this issue and construct nonperturbative answers out of asymptotic perturbative expansions.