Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel
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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)226 |
| _version_ | 1818025962967662592 |
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| author | M. Beccaria G. P. Korchemsky A. A. Tseytlin |
| author_facet | M. Beccaria G. P. Korchemsky A. A. Tseytlin |
| author_sort | M. Beccaria |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T04:24:27Z |
| format | Article |
| id | doaj.art-dc91a5069fb04397bf04f1f5c53a7267 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T04:24:27Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-dc91a5069fb04397bf04f1f5c53a72672022-12-22T02:02:19ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022916210.1007/JHEP09(2022)226Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernelM. Beccaria0G. P. Korchemsky1A. A. Tseytlin2Università del Salento, Dipartimento di Matematica e Fisica Ennio De Giorgi, and I.N.F.N. — sezione di LecceInstitut de Physique Théorique, Université Paris Saclay, CNRSBlackett Laboratory, Imperial College LondonAbstract 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.https://doi.org/10.1007/JHEP09(2022)2261/N ExpansionAdS-CFT CorrespondenceExtended SupersymmetryMatrix Models |
| spellingShingle | M. Beccaria G. P. Korchemsky A. A. Tseytlin Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Extended Supersymmetry Matrix Models |
| title | Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel |
| title_full | Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel |
| title_fullStr | Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel |
| title_full_unstemmed | Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel |
| title_short | Strong coupling expansion in 𝒩 = 2 superconformal theories and the Bessel kernel |
| title_sort | strong coupling expansion in 𝒩 2 superconformal theories and the bessel kernel |
| topic | 1/N Expansion AdS-CFT Correspondence Extended Supersymmetry Matrix Models |
| url | https://doi.org/10.1007/JHEP09(2022)226 |
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