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AdS/Ricci-flat correspondence

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
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), 1-52, [71]. (doi:10.1007/JHEP04(2014)071).

Record type: Article

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.

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More information

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
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

Catalogue record

Date deposited: 24 May 2016 14:11
Last modified: 21 Nov 2021 03:06

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Contributors

Author: Marco M. Caldarelli
Author: Joan Camps
Author: Blaise Goutéraux

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