Composite AdS geodesics for CFT correlators and timelike entanglement entropy
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918219412930560 |
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| author | Bohra, Hardik Sivaramakrishnan, Allic |
| author_facet | Bohra, Hardik Sivaramakrishnan, Allic |
| contents | We study how to recover timelike worldlines in AdS from CFT data as a toy model for holographically reconstructing realistic observers. We give a bulk extremization procedure that determines composite timelike-spacelike geodesics that connect timelike-separated boundary points. The total geodesic length matches the length extracted from CFT correlators at the timelike-separated points. We show agreement in Poincaré AdS, for generic boundary points in global AdS, and also for the BTZ solution, in which the timelike segment probes behind the horizon. We refine related methods to compute timelike entanglement entropy in AdS$_3$/CFT$_2$ and recover known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Composite AdS geodesics for CFT correlators and timelike entanglement entropy Bohra, Hardik Sivaramakrishnan, Allic High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics We study how to recover timelike worldlines in AdS from CFT data as a toy model for holographically reconstructing realistic observers. We give a bulk extremization procedure that determines composite timelike-spacelike geodesics that connect timelike-separated boundary points. The total geodesic length matches the length extracted from CFT correlators at the timelike-separated points. We show agreement in Poincaré AdS, for generic boundary points in global AdS, and also for the BTZ solution, in which the timelike segment probes behind the horizon. We refine related methods to compute timelike entanglement entropy in AdS$_3$/CFT$_2$ and recover known results. |
| title | Composite AdS geodesics for CFT correlators and timelike entanglement entropy |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2511.22168 |