Black hole singularity from OPE
Eternal asymptotically AdS black holes are dual to thermofield double states in the boundary CFT. It has long been known that black hole singularities have certain signatures in boundary thermal two-point functions related to null geodesics bouncing off the singularities (bouncing geodesics). In thi...
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2024
|
| Online Access: | https://hdl.handle.net/1721.1/157400 |
| _version_ | 1824457986038300672 |
|---|---|
| author | Čeplak, Nejc Liu, Hong Parnachev, Andrei Valach, Samuel |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Čeplak, Nejc Liu, Hong Parnachev, Andrei Valach, Samuel |
| author_sort | Čeplak, Nejc |
| collection | MIT |
| description | Eternal asymptotically AdS black holes are dual to thermofield double states in the boundary CFT. It has long been known that black hole singularities have certain signatures in boundary thermal two-point functions related to null geodesics bouncing off the singularities (bouncing geodesics). In this paper we shed light on the manifestations of black hole singularities in the dual CFT. We decompose the boundary CFT correlator of scalar operators using the Operator Product Expansion (OPE) and focus on the contributions from the identity, the stress tensor, and its products. We show that this part of the correlator develops singularities precisely at the points that are connected by bulk bouncing geodesics. Black hole singularities are thus encoded in the analytic behavior of the boundary correlators determined by multiple stress tensor exchanges. Furthermore, we show that in the limit where the conformal dimension of the operators is large, the sum of multi-stress-tensor contributions develops a branch point singularity as predicted by the geodesic analysis. We also argue that the appearance of complexified geodesics, which play an important role in computing the full correlator, is related to the contributions of the double-trace operators in the boundary CFT. |
| first_indexed | 2025-02-19T04:18:42Z |
| format | Article |
| id | mit-1721.1/157400 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:18:42Z |
| publishDate | 2024 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1574002024-12-23T05:19:42Z Black hole singularity from OPE Čeplak, Nejc Liu, Hong Parnachev, Andrei Valach, Samuel Massachusetts Institute of Technology. Center for Theoretical Physics Eternal asymptotically AdS black holes are dual to thermofield double states in the boundary CFT. It has long been known that black hole singularities have certain signatures in boundary thermal two-point functions related to null geodesics bouncing off the singularities (bouncing geodesics). In this paper we shed light on the manifestations of black hole singularities in the dual CFT. We decompose the boundary CFT correlator of scalar operators using the Operator Product Expansion (OPE) and focus on the contributions from the identity, the stress tensor, and its products. We show that this part of the correlator develops singularities precisely at the points that are connected by bulk bouncing geodesics. Black hole singularities are thus encoded in the analytic behavior of the boundary correlators determined by multiple stress tensor exchanges. Furthermore, we show that in the limit where the conformal dimension of the operators is large, the sum of multi-stress-tensor contributions develops a branch point singularity as predicted by the geodesic analysis. We also argue that the appearance of complexified geodesics, which play an important role in computing the full correlator, is related to the contributions of the double-trace operators in the boundary CFT. 2024-10-22T15:12:41Z 2024-10-22T15:12:41Z 2024-10-11 2024-10-13T03:12:07Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/157400 Čeplak, N., Liu, H., Parnachev, A. et al. Black hole singularity from OPE. J. High Energ. Phys. 2024, 105 (2024). PUBLISHER_CC en https://doi.org/10.1007/JHEP10(2024)105 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Čeplak, Nejc Liu, Hong Parnachev, Andrei Valach, Samuel Black hole singularity from OPE |
| title | Black hole singularity from OPE |
| title_full | Black hole singularity from OPE |
| title_fullStr | Black hole singularity from OPE |
| title_full_unstemmed | Black hole singularity from OPE |
| title_short | Black hole singularity from OPE |
| title_sort | black hole singularity from ope |
| url | https://hdl.handle.net/1721.1/157400 |
| work_keys_str_mv | AT ceplaknejc blackholesingularityfromope AT liuhong blackholesingularityfromope AT parnachevandrei blackholesingularityfromope AT valachsamuel blackholesingularityfromope |