State-operator correspondence in celestial conformal field theory
Abstract The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from operator insertions corresponding to either incomin...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2021)132 |
| _version_ | 1818449997240205312 |
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| author | Erin Crawley Noah Miller Sruthi A. Narayanan Andrew Strominger |
| author_facet | Erin Crawley Noah Miller Sruthi A. Narayanan Andrew Strominger |
| author_sort | Erin Crawley |
| collection | DOAJ |
| description | Abstract The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from operator insertions corresponding to either incoming or outgoing particles which cross the celestial sphere inside the circle. The BPZ construction is applied to give an inner product on such states whose associated bulk adjoints are shown to involve a shadow transform. Scattering amplitudes are then given by BPZ inner products between states living on the same circle but with opposite orientations. 2D boundary states are found to encode the same information as their 4D bulk counterparts, but organized in a radically different manner. |
| first_indexed | 2024-12-14T20:44:18Z |
| format | Article |
| id | doaj.art-710cb38e580b4660b3b81803ea426afa |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T20:44:18Z |
| publishDate | 2021-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-710cb38e580b4660b3b81803ea426afa2022-12-21T22:48:07ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021911710.1007/JHEP09(2021)132State-operator correspondence in celestial conformal field theoryErin Crawley0Noah Miller1Sruthi A. Narayanan2Andrew Strominger3Center for the Fundamental Laws of Nature, Harvard UniversityCenter for the Fundamental Laws of Nature, Harvard UniversityCenter for the Fundamental Laws of Nature, Harvard UniversityCenter for the Fundamental Laws of Nature, Harvard UniversityAbstract The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from operator insertions corresponding to either incoming or outgoing particles which cross the celestial sphere inside the circle. The BPZ construction is applied to give an inner product on such states whose associated bulk adjoints are shown to involve a shadow transform. Scattering amplitudes are then given by BPZ inner products between states living on the same circle but with opposite orientations. 2D boundary states are found to encode the same information as their 4D bulk counterparts, but organized in a radically different manner.https://doi.org/10.1007/JHEP09(2021)132Conformal Field TheoryConformal and W SymmetryScattering Amplitudes |
| spellingShingle | Erin Crawley Noah Miller Sruthi A. Narayanan Andrew Strominger State-operator correspondence in celestial conformal field theory Journal of High Energy Physics Conformal Field Theory Conformal and W Symmetry Scattering Amplitudes |
| title | State-operator correspondence in celestial conformal field theory |
| title_full | State-operator correspondence in celestial conformal field theory |
| title_fullStr | State-operator correspondence in celestial conformal field theory |
| title_full_unstemmed | State-operator correspondence in celestial conformal field theory |
| title_short | State-operator correspondence in celestial conformal field theory |
| title_sort | state operator correspondence in celestial conformal field theory |
| topic | Conformal Field Theory Conformal and W Symmetry Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP09(2021)132 |
| work_keys_str_mv | AT erincrawley stateoperatorcorrespondenceincelestialconformalfieldtheory AT noahmiller stateoperatorcorrespondenceincelestialconformalfieldtheory AT sruthianarayanan stateoperatorcorrespondenceincelestialconformalfieldtheory AT andrewstrominger stateoperatorcorrespondenceincelestialconformalfieldtheory |