QNM orthogonality relations for AdS black holes
QNM orthogonality relations for AdS black holes
We present orthogonality relations for quasinormal modes of a wide class of asymptotically AdS black holes. The definition is obtained from a standard product, modified by a CPT operator and placed on a complex radial contour which avoids branch points of the modes. They are inspired by existing constructions for de Sitter and Kerr spacetimes. The CPT operator is needed to map right eigenfunctions of the Hamiltonian into left eigenfunctions. The radial contour connects two copies of the dual QFT on a thermal Schwinger-Keldysh contour, making contact with real-time holography and the double cone wormhole.
AdS-CFT Correspondence, Black Holes
Arnaudo, Paolo
a6e295d1-c920-4996-a871-eb0534654e49
Carballo, Javier
6c0512bf-c1ae-4e62-9b5e-dfac07d23195
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
1 September 2025
Arnaudo, Paolo
a6e295d1-c920-4996-a871-eb0534654e49
Carballo, Javier
6c0512bf-c1ae-4e62-9b5e-dfac07d23195
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Arnaudo, Paolo, Carballo, Javier and Withers, Benjamin
(2025)
QNM orthogonality relations for AdS black holes.
Journal of High Energy Physics, 2025 (9), [10].
(doi:10.1007/JHEP09(2025)010).
Abstract
We present orthogonality relations for quasinormal modes of a wide class of asymptotically AdS black holes. The definition is obtained from a standard product, modified by a CPT operator and placed on a complex radial contour which avoids branch points of the modes. They are inspired by existing constructions for de Sitter and Kerr spacetimes. The CPT operator is needed to map right eigenfunctions of the Hamiltonian into left eigenfunctions. The radial contour connects two copies of the dual QFT on a thermal Schwinger-Keldysh contour, making contact with real-time holography and the double cone wormhole.
Text
2505.04696v1
- Accepted Manuscript
Text
JHEP09(2025)010
- Version of Record
More information
Accepted/In Press date: 1 August 2025
Published date: 1 September 2025
Keywords:
AdS-CFT Correspondence, Black Holes
Identifiers
Local EPrints ID: 505640
URI: http://eprints.soton.ac.uk/id/eprint/505640
ISSN: 1126-6708
PURE UUID: eaf8b449-7905-4416-b9bf-6168c0e24c0e
Catalogue record
Date deposited: 15 Oct 2025 16:38
Last modified: 16 Oct 2025 02:15
Export record
Altmetrics
Contributors
Author:
Paolo Arnaudo
Author:
Javier Carballo
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics