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Boundary conditions for extremal black holes from 2d gravity

Boundary conditions for extremal black holes from 2d gravity
Boundary conditions for extremal black holes from 2d gravity
We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.
2542-4653
Detournay, Stephane
cf41165d-35c2-4628-8c0e-d5519a1c84e0
Smoes, Thomas
b9c2ab61-45d8-4715-afff-03d2b899599b
Wutte, Raphaela
7103a5f7-a0fa-41d2-a762-4b8a7cfee9bb
Detournay, Stephane
cf41165d-35c2-4628-8c0e-d5519a1c84e0
Smoes, Thomas
b9c2ab61-45d8-4715-afff-03d2b899599b
Wutte, Raphaela
7103a5f7-a0fa-41d2-a762-4b8a7cfee9bb

Detournay, Stephane, Smoes, Thomas and Wutte, Raphaela (2024) Boundary conditions for extremal black holes from 2d gravity. SciPost Phys., 16, [141]. (doi:10.21468/SciPostPhys.16.5.141).

Record type: Article

Abstract

We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.

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Accepted/In Press date: 13 May 2024
e-pub ahead of print date: 30 May 2024
Published date: 30 May 2024

Identifiers

Local EPrints ID: 512844
URI: https://eprints.soton.ac.uk/id/eprint/512844
ISSN: 2542-4653
PURE UUID: 12fd2bbb-5f3f-4fb8-8d3a-1025dd8b3d24
ORCID for Raphaela Wutte: ORCID iD orcid.org/0000-0002-1346-1047

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Date deposited: 24 Jul 2026 16:43
Last modified: 13 Sep 2026 15:49

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Contributors

Author: Stephane Detournay
Author: Thomas Smoes
Author: Raphaela Wutte ORCID iD

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