Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM
Abstract Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory. In this work, we investigate its large N limit in detail. We show that the formula of Do...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)086 |
| _version_ | 1797865698594127872 |
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| author | Yasuyuki Hatsuda Kazumi Okuyama |
| author_facet | Yasuyuki Hatsuda Kazumi Okuyama |
| author_sort | Yasuyuki Hatsuda |
| collection | DOAJ |
| description | Abstract Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory. In this work, we investigate its large N limit in detail. We show that the formula of Dorigoni, Green and Wen can be recast into the sum over the contributions of (p, q)-strings via the holography in the large N limit. Due to the SL(2, ℤ) duality, all the contributions are governed by a single function, typically appearing as the fundamental string contribution. The large order behavior for the perturbative genus expansion of this function allows us to reveal the large N non-perturbative corrections. The same result is obtained more systematically by using a Laplace-difference equation for the integrated correlator. |
| first_indexed | 2024-04-09T23:13:28Z |
| format | Article |
| id | doaj.art-c59acec980e44d49b2f3aa7af1c77daf |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:13:28Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c59acec980e44d49b2f3aa7af1c77daf2023-03-22T10:16:30ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221114010.1007/JHEP11(2022)086Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYMYasuyuki Hatsuda0Kazumi Okuyama1Department of Physics, Rikkyo UniversityDepartment of Physics, Shinshu UniversityAbstract Recently Dorigoni, Green and Wen conjectured a remarkable exact formula for an integrated correlator of four superconformal primary operators in N $$ \mathcal{N} $$ = 4 supersymmetric Yang-Mills theory. In this work, we investigate its large N limit in detail. We show that the formula of Dorigoni, Green and Wen can be recast into the sum over the contributions of (p, q)-strings via the holography in the large N limit. Due to the SL(2, ℤ) duality, all the contributions are governed by a single function, typically appearing as the fundamental string contribution. The large order behavior for the perturbative genus expansion of this function allows us to reveal the large N non-perturbative corrections. The same result is obtained more systematically by using a Laplace-difference equation for the integrated correlator.https://doi.org/10.1007/JHEP11(2022)0861/N ExpansionSupersymmetric Gauge TheoryDuality in Gauge Field Theories |
| spellingShingle | Yasuyuki Hatsuda Kazumi Okuyama Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM Journal of High Energy Physics 1/N Expansion Supersymmetric Gauge Theory Duality in Gauge Field Theories |
| title | Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM |
| title_full | Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM |
| title_fullStr | Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM |
| title_full_unstemmed | Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM |
| title_short | Large N expansion of an integrated correlator in N $$ \mathcal{N} $$ = 4 SYM |
| title_sort | large n expansion of an integrated correlator in n mathcal n 4 sym |
| topic | 1/N Expansion Supersymmetric Gauge Theory Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP11(2022)086 |
| work_keys_str_mv | AT yasuyukihatsuda largenexpansionofanintegratedcorrelatorinnmathcaln4sym AT kazumiokuyama largenexpansionofanintegratedcorrelatorinnmathcaln4sym |