An embedding space approach to Carrollian CFT correlators for flat space holography
Abstract Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, more generally, geometries with conformal carrollian structure. Using a basis transformation, gravitational S-matrix elements can be brought into the for...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2023)084 |
| _version_ | 1797341405947887616 |
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| author | Jakob Salzer |
| author_facet | Jakob Salzer |
| author_sort | Jakob Salzer |
| collection | DOAJ |
| description | Abstract Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, more generally, geometries with conformal carrollian structure. Using a basis transformation, gravitational S-matrix elements can be brought into the form of correlators of a carrollian CFT. Therefore, it has been suggested that carrollian CFTs could provide a co-dimension one dual description to gravity in asymptotically flat spacetimes. In this work, we construct an embedding space formalism for three-dimensional carrollian CFTs and use it to determine two- and three-point correlators. These correlators are fixed by the global subgroup, ISO(1, 3), of the carrollian conformal symmetries, i.e., the Bondi-van der Burg-Metzner-Sachs symmetries (BMS). The correlators coincide with well-known two- and three-point scattering amplitudes in Minkowski space written with respect to a basis of asymptotic position states. |
| first_indexed | 2024-03-08T10:17:38Z |
| format | Article |
| id | doaj.art-499b6c5eeb6d43f6976bd657bcf6e2ad |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:17:38Z |
| publishDate | 2023-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-499b6c5eeb6d43f6976bd657bcf6e2ad2024-01-28T12:16:37ZengSpringerOpenJournal of High Energy Physics1029-84792023-10-0120231014010.1007/JHEP10(2023)084An embedding space approach to Carrollian CFT correlators for flat space holographyJakob Salzer0Université Libre de Bruxelles and International Solvay InstitutesAbstract Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, more generally, geometries with conformal carrollian structure. Using a basis transformation, gravitational S-matrix elements can be brought into the form of correlators of a carrollian CFT. Therefore, it has been suggested that carrollian CFTs could provide a co-dimension one dual description to gravity in asymptotically flat spacetimes. In this work, we construct an embedding space formalism for three-dimensional carrollian CFTs and use it to determine two- and three-point correlators. These correlators are fixed by the global subgroup, ISO(1, 3), of the carrollian conformal symmetries, i.e., the Bondi-van der Burg-Metzner-Sachs symmetries (BMS). The correlators coincide with well-known two- and three-point scattering amplitudes in Minkowski space written with respect to a basis of asymptotic position states.https://doi.org/10.1007/JHEP10(2023)084Scale and Conformal SymmetriesScattering AmplitudesSpace-Time SymmetriesAdS-CFT Correspondence |
| spellingShingle | Jakob Salzer An embedding space approach to Carrollian CFT correlators for flat space holography Journal of High Energy Physics Scale and Conformal Symmetries Scattering Amplitudes Space-Time Symmetries AdS-CFT Correspondence |
| title | An embedding space approach to Carrollian CFT correlators for flat space holography |
| title_full | An embedding space approach to Carrollian CFT correlators for flat space holography |
| title_fullStr | An embedding space approach to Carrollian CFT correlators for flat space holography |
| title_full_unstemmed | An embedding space approach to Carrollian CFT correlators for flat space holography |
| title_short | An embedding space approach to Carrollian CFT correlators for flat space holography |
| title_sort | embedding space approach to carrollian cft correlators for flat space holography |
| topic | Scale and Conformal Symmetries Scattering Amplitudes Space-Time Symmetries AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP10(2023)084 |
| work_keys_str_mv | AT jakobsalzer anembeddingspaceapproachtocarrolliancftcorrelatorsforflatspaceholography AT jakobsalzer embeddingspaceapproachtocarrolliancftcorrelatorsforflatspaceholography |