Strong coupling expansion in <i>N</i>=2 superconformal theories and the Bessel kernel
File(s)
Published version
Author(s)
Beccaria, M
Korchemsky, GP
Tseytlin, A
Type
Journal Article
Abstract
We consider strong ’t Hooft coupling expansion in special four-dimensional 𝒩 = 2 superconformal models that are planar-equivalent to 𝒩 = 4 super Yang-Mills theory. Various observables in these models that admit localization matrix model representation can be expressed at large N in terms of a Fredholm determinant of a Bessel operator. The latter previously appeared in the study of level spacing distributions in matrix models and, more recently, in four-point correlation functions of infinitely heavy half-BPS operators in planar 𝒩 = 4 SYM. We use this relation and a suitably generalized Szegő-Akhiezer-Kac formula to derive the strong ’t Hooft coupling expansion of the leading corrections to free energy, half-BPS circular Wilson loop, and certain correlators of chiral primaries operators in the 𝒩 = 2 models. This substantially generalizes partial results in the literature and represents a challenge for dual string theory calculations in AdS/CFT context. We also demonstrate that the resulting strong-coupling expansions suffer from Borel singularities and require adding non-perturbative, exponentially suppressed corrections. As a byproduct of our analysis, we determine the non-perturbative correction to the above mentioned four-point correlator in planar 𝒩 = 4 SYM.
Date Issued
2022-09-27
Date Acceptance
2022-09-17
Citation
The Journal of High Energy Physics, 2022, 2022 (9)
ISSN
1029-8479
Publisher
SpringerOpen
Journal / Book Title
The Journal of High Energy Physics
Volume
2022
Issue
9
Copyright Statement
© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
License URL
Identifier
http://arxiv.org/abs/2207.11475v3
Subjects
1/N Expansion
ADS/CFT INTEGRABILITY
AdS-CFT Correspondence
CONFORMAL FIELD-THEORIES
DETERMINANTS
Extended Supersymmetry
LIMIT
Matrix Models
ORBIFOLDS
Physical Sciences
Physics
Physics, Particles & Fields
Science & Technology
Publication Status
Published
Article Number
ARTN 226
Date Publish Online
2022-09-27