BibTex format
@article{Beccaria:2022:10.1007/JHEP09(2022)226,
author = {Beccaria, M and Korchemsky, GP and Tseytlin, A},
doi = {10.1007/JHEP09(2022)226},
journal = {The Journal of High Energy Physics},
title = {Strong coupling expansion in <i>N</i>=2 superconformal theories and the Bessel kernel},
url = {http://dx.doi.org/10.1007/JHEP09(2022)226},
volume = {2022},
year = {2022}
}
RIS format (EndNote, RefMan)
TY - JOUR
AB - We consider strong ’t Hooft coupling expansion in special four-dimensional = 2 superconformal models that are planar-equivalent to = 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 = 4 SYM. We use this relation and a suitably generalized Szeg-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 = 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 = 4 SYM.
AU - Beccaria,M
AU - Korchemsky,GP
AU - Tseytlin,A
DO - 10.1007/JHEP09(2022)226
PY - 2022///
SN - 1029-8479
TI - Strong coupling expansion in <i>N</i>=2 superconformal theories and the Bessel kernel
T2 - The Journal of High Energy Physics
UR - http://dx.doi.org/10.1007/JHEP09(2022)226
VL - 2022
ER -