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.
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ArXiv ePrint: 2207.11475
Also on leave from Institute for Theoretical and Mathematical Physics (ITMP) and Lebedev Institute. (A.A. Tseytlin)
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Beccaria, M., Korchemsky, G.P. & Tseytlin, A.A. Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel. J. High Energ. Phys. 2022, 226 (2022). https://doi.org/10.1007/JHEP09(2022)226
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DOI: https://doi.org/10.1007/JHEP09(2022)226