Theory Seminar

Fredholm determinants and resurgence in supersymmetric theoriesTBA

by Bercel Boldis (Budapest University of Technology and Economics)

Europe/Berlin
A.2.25 - Atlas West (MPP)

A.2.25 - Atlas West

MPP

15
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Description

In holographic dualities, non-perturbative contributions at large ’t Hooft coupling play an important role, as they encode different saddle point corrections for the string worldsheet. Recent work has established a systematic method for computing strong-coupling transseries to arbitrary order for a class of observables in four-dimensional planar N=2 and N=4 supersymmetric Yang–Mills theories. These observables can be expressed in terms of Fredholm determinants at arbitrary ’t Hooft coupling.
Building on these developments, I investigate the strong-coupling expansion of observables within this framework, including the octagon form factor and the cusp anomalous dimension. I present a universal structure governing their non-perturbative corrections, which enables the reconstruction of their full transseries from perturbative data alone. I also explore resurgence relations between non-perturbative sectors and show how the large-order behaviour of each sector encodes subleading exponential corrections.