Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills
Abstract We study the conformal field theory data (CFT-data) of planar 4D N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory in the strong ’t Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual AdS. We focus on the CFT-data of the massive...
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2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)200 |
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| author | Julius Julius Nika Sergeevna Sokolova |
| author_facet | Julius Julius Nika Sergeevna Sokolova |
| author_sort | Julius Julius |
| collection | DOAJ |
| description | Abstract We study the conformal field theory data (CFT-data) of planar 4D N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory in the strong ’t Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual AdS. We focus on the CFT-data of the massive short strings exchanged in the operator product expansion (OPE) of the four-point function dual to the Virasoro-Shapiro amplitude. This CFT-data arranges itself into Regge trajectories in the flat-space limit. Using inputs from recent advances in the computation of the AdS Virasoro-Shapiro amplitude, integrability, and a stipulation based on analyticity of the CFT-data in spin, we are able to fix all the CFT-data on the four unique sub-leading Regge trajectories, at leading non-trivial order, as a function of the string-mass level. One of our predictions is that one of the four unique sub-leading Regge trajectories decouples from the OPE in the flat-space limit. This hints at an emergent selection rule in the flat-space limit, similar to our previous results in arXiv:2310.06041 . Our procedure should be applicable in a variety of similar setups like for the AdS Veneziano amplitude or in ABJM. |
| format | Article |
| id | doaj-art-2f37abe9d77d4be78183e4112c4004ef |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-2f37abe9d77d4be78183e4112c4004ef2025-08-20T03:09:35ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025414610.1007/JHEP04(2025)200Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-MillsJulius Julius0Nika Sergeevna Sokolova1Harish-Chandra Research Institute, Homi Bhabha National InstituteDepartment of Mathematics, King’s College LondonAbstract We study the conformal field theory data (CFT-data) of planar 4D N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory in the strong ’t Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual AdS. We focus on the CFT-data of the massive short strings exchanged in the operator product expansion (OPE) of the four-point function dual to the Virasoro-Shapiro amplitude. This CFT-data arranges itself into Regge trajectories in the flat-space limit. Using inputs from recent advances in the computation of the AdS Virasoro-Shapiro amplitude, integrability, and a stipulation based on analyticity of the CFT-data in spin, we are able to fix all the CFT-data on the four unique sub-leading Regge trajectories, at leading non-trivial order, as a function of the string-mass level. One of our predictions is that one of the four unique sub-leading Regge trajectories decouples from the OPE in the flat-space limit. This hints at an emergent selection rule in the flat-space limit, similar to our previous results in arXiv:2310.06041 . Our procedure should be applicable in a variety of similar setups like for the AdS Veneziano amplitude or in ABJM.https://doi.org/10.1007/JHEP04(2025)200AdS-CFT CorrespondenceIntegrable Field TheoriesScale and Conformal SymmetriesSupersymmetric Gauge Theory |
| spellingShingle | Julius Julius Nika Sergeevna Sokolova Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills Journal of High Energy Physics AdS-CFT Correspondence Integrable Field Theories Scale and Conformal Symmetries Supersymmetric Gauge Theory |
| title | Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills |
| title_full | Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills |
| title_fullStr | Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills |
| title_full_unstemmed | Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills |
| title_short | Unmixing sub-leading Regge trajectories of N $$ \mathcal{N} $$ = 4 Super-Yang-Mills |
| title_sort | unmixing sub leading regge trajectories of n mathcal n 4 super yang mills |
| topic | AdS-CFT Correspondence Integrable Field Theories Scale and Conformal Symmetries Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP04(2025)200 |
| work_keys_str_mv | AT juliusjulius unmixingsubleadingreggetrajectoriesofnmathcaln4superyangmills AT nikasergeevnasokolova unmixingsubleadingreggetrajectoriesofnmathcaln4superyangmills |