Amplitude basis for conformal correlators
Abstract We present a classification of conformally-invariant three-point tensor structures in d dimensions that parallels the classification of three-particle scattering amplitudes in d + 1 dimensions. Using a set of canonically-normalized weight-shifting operators, we construct a basis of three-po...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)147 |
| _version_ | 1827205544461467648 |
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| author | Hayden Lee Xinkang Wang |
| author_facet | Hayden Lee Xinkang Wang |
| author_sort | Hayden Lee |
| collection | DOAJ |
| description | Abstract We present a classification of conformally-invariant three-point tensor structures in d dimensions that parallels the classification of three-particle scattering amplitudes in d + 1 dimensions. Using a set of canonically-normalized weight-shifting operators, we construct a basis of three-point structures involving conserved currents or stress tensors and non-conserved spinning operators, directly from their amplitude counterparts. As an application, we also examine the conformal block expansion of the four-point functions of external currents and stress tensors in this amplitude basis. Our results can be useful for conformal bootstrap applications involving spinning correlators as well as Witten diagram computations in anti-de Sitter space. |
| first_indexed | 2024-04-24T16:22:18Z |
| format | Article |
| id | doaj.art-54ee9aead536472b8d86866135bbbc21 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T12:09:58Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-54ee9aead536472b8d86866135bbbc212024-06-30T11:07:56ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024314010.1007/JHEP03(2024)147Amplitude basis for conformal correlatorsHayden Lee0Xinkang Wang1Kavli Institute for Cosmological Physics, University of ChicagoDepartment of Physics, University of ChicagoAbstract We present a classification of conformally-invariant three-point tensor structures in d dimensions that parallels the classification of three-particle scattering amplitudes in d + 1 dimensions. Using a set of canonically-normalized weight-shifting operators, we construct a basis of three-point structures involving conserved currents or stress tensors and non-conserved spinning operators, directly from their amplitude counterparts. As an application, we also examine the conformal block expansion of the four-point functions of external currents and stress tensors in this amplitude basis. Our results can be useful for conformal bootstrap applications involving spinning correlators as well as Witten diagram computations in anti-de Sitter space.https://doi.org/10.1007/JHEP03(2024)147Conformal and W SymmetryScattering AmplitudesAdS-CFT CorrespondenceSpace-Time Symmetries |
| spellingShingle | Hayden Lee Xinkang Wang Amplitude basis for conformal correlators Journal of High Energy Physics Conformal and W Symmetry Scattering Amplitudes AdS-CFT Correspondence Space-Time Symmetries |
| title | Amplitude basis for conformal correlators |
| title_full | Amplitude basis for conformal correlators |
| title_fullStr | Amplitude basis for conformal correlators |
| title_full_unstemmed | Amplitude basis for conformal correlators |
| title_short | Amplitude basis for conformal correlators |
| title_sort | amplitude basis for conformal correlators |
| topic | Conformal and W Symmetry Scattering Amplitudes AdS-CFT Correspondence Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP03(2024)147 |
| work_keys_str_mv | AT haydenlee amplitudebasisforconformalcorrelators AT xinkangwang amplitudebasisforconformalcorrelators |