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arXiv · 2509.20302

Universality in the resurgence of generalized Tracy-Widom distributions

Zoltan Bajnok·Bercel Boldis·Dennis le Plat
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Abstract

We analyze determinants associated with Bessel kernels and generic symbol functions, which govern a class of observables across all values of the 't Hooft coupling in supersymmetric gauge theories. Previous approaches, based on integro-differential equations, have provided systematic strong-coupling expansions for the logarithms of these determinants, expressed through the moments of the symbol. The resulting asymptotic series, once completed with non-perturbative terms, allowed the leading resurgence relations to be tested. In this Letter we focus directly on the determinants themselves, and we uncover a strikingly simple non-perturbative structure: all trans-series corrections share a universal form, while the moments transform in a direct and intuitive way. This simplicity points to an underlying organizing principle for the non-perturbative dynamics of gauge theory observables.

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Zoltan Bajnok, Bercel Boldis, Dennis le Plat. 2025-09-24. Universality in the resurgence of generalized Tracy-Widom distributions. https://arxiv.org/abs/2509.20302

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