Horizon causality from holographic scattering in asymptotically dS3
Abstract In the AdS/CFT correspondence, a direct scattering in the bulk may not have a local boundary analog. A nonlocal implementation on the boundary requires O(1/G N ) mutual information. This statement is formalized by the connected wedge theorem, which can be proven using general relativity wit...
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| Format: | Article |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)199 |
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| author | Victor Franken Takato Mori |
| author_facet | Victor Franken Takato Mori |
| author_sort | Victor Franken |
| collection | DOAJ |
| description | Abstract In the AdS/CFT correspondence, a direct scattering in the bulk may not have a local boundary analog. A nonlocal implementation on the boundary requires O(1/G N ) mutual information. This statement is formalized by the connected wedge theorem, which can be proven using general relativity within AdS3 but also argued for using quantum information theory on the boundary, suggesting that the theorem applies to any holographic duality. We examine scattering within the static patch of asymptotically dS3 spacetime, which is conjectured to be described by a quantum theory on the stretched horizon in static patch holography. We show that causality on the horizon induced from null infinities I $$ \mathcal{I} $$ ± is consistent with the theorem. Specifically, signals propagating in the static patch are associated with local operators at I $$ \mathcal{I} $$ ± . Our results suggest a novel connection between static patch holography and the dS/CFT correspondence. |
| format | Article |
| id | doaj-art-6ecf882bb27f4b67a1b999eec08d41ca |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-6ecf882bb27f4b67a1b999eec08d41ca2025-01-12T12:05:54ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214910.1007/JHEP12(2024)199Horizon causality from holographic scattering in asymptotically dS3Victor Franken0Takato Mori1CPHT, CNRS, École polytechnique, Institut Polytechnique de ParisPerimeter Institute for Theoretical PhysicsAbstract In the AdS/CFT correspondence, a direct scattering in the bulk may not have a local boundary analog. A nonlocal implementation on the boundary requires O(1/G N ) mutual information. This statement is formalized by the connected wedge theorem, which can be proven using general relativity within AdS3 but also argued for using quantum information theory on the boundary, suggesting that the theorem applies to any holographic duality. We examine scattering within the static patch of asymptotically dS3 spacetime, which is conjectured to be described by a quantum theory on the stretched horizon in static patch holography. We show that causality on the horizon induced from null infinities I $$ \mathcal{I} $$ ± is consistent with the theorem. Specifically, signals propagating in the static patch are associated with local operators at I $$ \mathcal{I} $$ ± . Our results suggest a novel connection between static patch holography and the dS/CFT correspondence.https://doi.org/10.1007/JHEP12(2024)199Gauge-Gravity CorrespondenceClassical Theories of Gravityde Sitter space |
| spellingShingle | Victor Franken Takato Mori Horizon causality from holographic scattering in asymptotically dS3 Journal of High Energy Physics Gauge-Gravity Correspondence Classical Theories of Gravity de Sitter space |
| title | Horizon causality from holographic scattering in asymptotically dS3 |
| title_full | Horizon causality from holographic scattering in asymptotically dS3 |
| title_fullStr | Horizon causality from holographic scattering in asymptotically dS3 |
| title_full_unstemmed | Horizon causality from holographic scattering in asymptotically dS3 |
| title_short | Horizon causality from holographic scattering in asymptotically dS3 |
| title_sort | horizon causality from holographic scattering in asymptotically ds3 |
| topic | Gauge-Gravity Correspondence Classical Theories of Gravity de Sitter space |
| url | https://doi.org/10.1007/JHEP12(2024)199 |
| work_keys_str_mv | AT victorfranken horizoncausalityfromholographicscatteringinasymptoticallyds3 AT takatomori horizoncausalityfromholographicscatteringinasymptoticallyds3 |