Holographic signatures of resolved cosmological singularities
Abstract The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of singularities in classical gravity, which limits the applicability of AdS/CFT to regimes where the singularities...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2019)043 |
| _version_ | 1828376473533153280 |
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| author | N. Bodendorfer A. Schäfer J. Schliemann |
| author_facet | N. Bodendorfer A. Schäfer J. Schliemann |
| author_sort | N. Bodendorfer |
| collection | DOAJ |
| description | Abstract The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of singularities in classical gravity, which limits the applicability of AdS/CFT to regimes where the singularities are avoided by bulk probes, or some other form of regularisation is applicable. At the same time, quantum gravity is expected to resolve those singularities and thus to extend the range of applicability of AdS/CFT also in classically singular regimes. This paper exemplifies such a computation. We use an effective quantum corrected Kasner-AdS metric inspired by results from non-perturbative canonical quantum gravity to compute the 2-point correlator in the geodesic approximation for a negative Kasner exponent. The correlator derived in the classical gravity approximation has previously been shown to contain a pole at finite distance as a signature of the singularity. Using the quantum corrected metric, we show explicitly how the pole is resolved and that a new subdominant long-distance contribution to the correlator emerges, caused by geodesics passing arbitrarily close to the resolved classical singularity. In order to compute analytically in this paper, two key simplifications in the quantum corrected metric are necessary. They are lifted in a companion paper using numerical techniques, leading to the same qualitative results. |
| first_indexed | 2024-04-14T08:00:27Z |
| format | Article |
| id | doaj.art-9cf56fc9ecd54d1298182556b664a2b4 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-14T08:00:27Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9cf56fc9ecd54d1298182556b664a2b42022-12-22T02:04:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-06-012019611810.1007/JHEP06(2019)043Holographic signatures of resolved cosmological singularitiesN. Bodendorfer0A. Schäfer1J. Schliemann2Institute for Theoretical Physics, University of RegensburgInstitute for Theoretical Physics, University of RegensburgInstitute for Theoretical Physics, University of RegensburgAbstract The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of singularities in classical gravity, which limits the applicability of AdS/CFT to regimes where the singularities are avoided by bulk probes, or some other form of regularisation is applicable. At the same time, quantum gravity is expected to resolve those singularities and thus to extend the range of applicability of AdS/CFT also in classically singular regimes. This paper exemplifies such a computation. We use an effective quantum corrected Kasner-AdS metric inspired by results from non-perturbative canonical quantum gravity to compute the 2-point correlator in the geodesic approximation for a negative Kasner exponent. The correlator derived in the classical gravity approximation has previously been shown to contain a pole at finite distance as a signature of the singularity. Using the quantum corrected metric, we show explicitly how the pole is resolved and that a new subdominant long-distance contribution to the correlator emerges, caused by geodesics passing arbitrarily close to the resolved classical singularity. In order to compute analytically in this paper, two key simplifications in the quantum corrected metric are necessary. They are lifted in a companion paper using numerical techniques, leading to the same qualitative results.http://link.springer.com/article/10.1007/JHEP06(2019)043Spacetime SingularitiesAdS-CFT CorrespondenceGauge-gravity correspondenceModels of Quantum Gravity |
| spellingShingle | N. Bodendorfer A. Schäfer J. Schliemann Holographic signatures of resolved cosmological singularities Journal of High Energy Physics Spacetime Singularities AdS-CFT Correspondence Gauge-gravity correspondence Models of Quantum Gravity |
| title | Holographic signatures of resolved cosmological singularities |
| title_full | Holographic signatures of resolved cosmological singularities |
| title_fullStr | Holographic signatures of resolved cosmological singularities |
| title_full_unstemmed | Holographic signatures of resolved cosmological singularities |
| title_short | Holographic signatures of resolved cosmological singularities |
| title_sort | holographic signatures of resolved cosmological singularities |
| topic | Spacetime Singularities AdS-CFT Correspondence Gauge-gravity correspondence Models of Quantum Gravity |
| url | http://link.springer.com/article/10.1007/JHEP06(2019)043 |
| work_keys_str_mv | AT nbodendorfer holographicsignaturesofresolvedcosmologicalsingularities AT aschafer holographicsignaturesofresolvedcosmologicalsingularities AT jschliemann holographicsignaturesofresolvedcosmologicalsingularities |