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Tracy-Widom distribution in four-dimensional super-Yang-Mills theories

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arxiv 2403.13050 v2 pith:WPTTN3FS submitted 2024-03-19 hep-th math-phmath.FAmath.MP

classification hep-thmath-phmath.FAmath.MP
keywords couplingcorrectionsexpansionfour-dimensionaltheoriesbesselcomputecomputed
verification ladder T0 review T1 audit T2 compute T3 formal
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Various observables in different four-dimensional superconformal Yang-Mills theories can be computed exactly as Fredholm determinants of truncated Bessel operators. We exploit this relation to determine their dependence on the 't Hooft coupling constant. Unlike the weak coupling expansion, which has a finite radius of convergence, the strong coupling expansion is factorially divergent, necessitating the inclusion of nonperturbative, exponentially small corrections. We develop a method to systematically compute these corrections and discuss the resurgent properties of the resulting transseries.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lattice path combinatorics in superconformal Yang-Mills theories

    hep-th 2025-08 conditional novelty 8.0 of 10

    Planar superconformal Yang-Mills determinant observables are shown to equal generalized Dyck path partition functions through a universal iterated integral expansion.

  2. From Fredholm Determinants to AdS/CFT Observables: A Universal Strong-Coupling Framework

    hep-th 2026-07 conditional novelty 6.0 of 10

    The O(6) mass gap's strong-coupling trans-series is generated from Fredholm-determinant data via a conjectured alien calculus, yielding an all-orders relation to the cusp anomalous dimension.

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