AdS/Ricci-flat correspondence
AdS/Ricci-flat correspondence
We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a map between a class of asymptotically locally AdS spacetimes and a class of Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a number of extensions and apply it to a number of important examples, such as AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the correspondence links the hydrodynamic regime of asymptotically flat black p-branes or the Rindler fluid with that of AdS. It implies that this class of Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and has a holographic structure. We initiate the discussion of holography by analyzing how the map acts on boundary conditions and holographic 2-point functions.
1-52
Caldarelli, Marco M.
873ef6f9-92c0-48f6-8362-6b1bee12d540
Camps, Joan
499e5cd2-cb05-488b-a205-4cdc672ddbf7
Goutéraux, Blaise
17b64af4-5a32-490c-8ed1-75b78c12a308
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
10 April 2014
Caldarelli, Marco M.
873ef6f9-92c0-48f6-8362-6b1bee12d540
Camps, Joan
499e5cd2-cb05-488b-a205-4cdc672ddbf7
Goutéraux, Blaise
17b64af4-5a32-490c-8ed1-75b78c12a308
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Caldarelli, Marco M., Camps, Joan, Goutéraux, Blaise and Skenderis, Kostas
(2014)
AdS/Ricci-flat correspondence.
Journal of High Energy Physics, 2014 (4), , [71].
(doi:10.1007/JHEP04(2014)071).
Abstract
We present a comprehensive analysis of the AdS/Ricci-flat correspondence, a map between a class of asymptotically locally AdS spacetimes and a class of Ricci-flat spacetimes. We provide a detailed derivation of the map, discuss a number of extensions and apply it to a number of important examples, such as AdS on a torus, AdS black branes and fluids/gravity metrics. In particular, the correspondence links the hydrodynamic regime of asymptotically flat black p-branes or the Rindler fluid with that of AdS. It implies that this class of Ricci-flat spacetimes inherits from AdS a generalized conformal symmetry and has a holographic structure. We initiate the discussion of holography by analyzing how the map acts on boundary conditions and holographic 2-point functions.
Text
1312.7874.pdf
- Accepted Manuscript
Text
art%3A10.1007%2FJHEP04%282014%29071.pdf
- Version of Record
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Accepted/In Press date: 14 March 2014
e-pub ahead of print date: 10 April 2014
Published date: 10 April 2014
Organisations:
Applied Mathematics
Identifiers
Local EPrints ID: 391640
URI: http://eprints.soton.ac.uk/id/eprint/391640
PURE UUID: 716346fa-14a9-44f9-a8d8-cd7c68fb2dd3
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Date deposited: 24 May 2016 14:11
Last modified: 15 Mar 2024 03:41
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Contributors
Author:
Marco M. Caldarelli
Author:
Joan Camps
Author:
Blaise Goutéraux
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