Quasinormal corrections to near-extremal black hole thermodynamics
Abstract Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic T 3/2 scaling of the low temperature black hole partition function. This result has only been derived using the path integral in the near-horizon region and relies on many as...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)069 |
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| author | Daniel Kapec Y. T. Albert Law Chiara Toldo |
| author_facet | Daniel Kapec Y. T. Albert Law Chiara Toldo |
| author_sort | Daniel Kapec |
| collection | DOAJ |
| description | Abstract Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic T 3/2 scaling of the low temperature black hole partition function. This result has only been derived using the path integral in the near-horizon region and relies on many assumptions. We discuss how to derive the T 3/2 scaling for the near-extremal rotating BTZ black hole from a calculation in the full black hole background using the Denef-Hartnoll-Sachdev (DHS) formula, which expresses the 1-loop determinant of a thermal geometry in terms of a product over the quasinormal mode spectrum. We also derive the spectral measure for fields of any spin in Euclidean BTZ and use it to provide a new proof of the DHS formula and a new, direct derivation of the BTZ heat kernel. The computations suggest a path to proving the T 3/2 scaling for the asymptotically flat 4d Kerr black hole. |
| format | Article |
| id | doaj-art-a697863f847b4e87a01d9e9f034291d4 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-a697863f847b4e87a01d9e9f034291d42025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025613910.1007/JHEP06(2025)069Quasinormal corrections to near-extremal black hole thermodynamicsDaniel Kapec0Y. T. Albert Law1Chiara Toldo2Center for the Fundamental Laws of Nature, Harvard UniversityStanford Institute for Theoretical PhysicsCenter for the Fundamental Laws of Nature, Harvard UniversityAbstract Recent work on the quantum mechanics of near-extremal non-supersymmetric black holes has identified a characteristic T 3/2 scaling of the low temperature black hole partition function. This result has only been derived using the path integral in the near-horizon region and relies on many assumptions. We discuss how to derive the T 3/2 scaling for the near-extremal rotating BTZ black hole from a calculation in the full black hole background using the Denef-Hartnoll-Sachdev (DHS) formula, which expresses the 1-loop determinant of a thermal geometry in terms of a product over the quasinormal mode spectrum. We also derive the spectral measure for fields of any spin in Euclidean BTZ and use it to provide a new proof of the DHS formula and a new, direct derivation of the BTZ heat kernel. The computations suggest a path to proving the T 3/2 scaling for the asymptotically flat 4d Kerr black hole.https://doi.org/10.1007/JHEP06(2025)069Black HolesAdS-CFT CorrespondenceGauge-Gravity Correspondence |
| spellingShingle | Daniel Kapec Y. T. Albert Law Chiara Toldo Quasinormal corrections to near-extremal black hole thermodynamics Journal of High Energy Physics Black Holes AdS-CFT Correspondence Gauge-Gravity Correspondence |
| title | Quasinormal corrections to near-extremal black hole thermodynamics |
| title_full | Quasinormal corrections to near-extremal black hole thermodynamics |
| title_fullStr | Quasinormal corrections to near-extremal black hole thermodynamics |
| title_full_unstemmed | Quasinormal corrections to near-extremal black hole thermodynamics |
| title_short | Quasinormal corrections to near-extremal black hole thermodynamics |
| title_sort | quasinormal corrections to near extremal black hole thermodynamics |
| topic | Black Holes AdS-CFT Correspondence Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP06(2025)069 |
| work_keys_str_mv | AT danielkapec quasinormalcorrectionstonearextremalblackholethermodynamics AT ytalbertlaw quasinormalcorrectionstonearextremalblackholethermodynamics AT chiaratoldo quasinormalcorrectionstonearextremalblackholethermodynamics |