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Universal hydrodynamics of non-conformal branes

Universal hydrodynamics of non-conformal branes
Universal hydrodynamics of non-conformal branes
We examine the hydrodynamic limit of non-conformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to non-conformal brane solutions by showing that all such solutions can be obtained from higher dimensional asymptotically locally AdS solutions by suitable dimensional reduction and continuation in the dimension. As a consequence, many holographic results for such backgrounds follow from the corresponding results of the Asymptotically AdS case. In particular, the hydrodynamics of non-conformal branes is fully determined in terms of conformal hydrodynamics. Using previous results on the latter we predict the form of the non-conformal hydrodynamic stress tensor to second order in derivatives. Furthermore we show that the ratio between bulk and shear viscosity is fixed by the generalized conformal structure to be ?/? = 2(1/(d?1)?cs2), where cs is the speed of sound in the fluid.
p-branes, gauge-gravity correspondence, d-branes, AdS-CFT correspondence
JHEP04(2009)062-[24pp]
Kanitscheider, Ingmar
3fc9812e-2056-43d9-b107-54a51b0e4ac9
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
Kanitscheider, Ingmar
3fc9812e-2056-43d9-b107-54a51b0e4ac9
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09

Kanitscheider, Ingmar and Skenderis, Kostas (2009) Universal hydrodynamics of non-conformal branes. Journal of High Energy Physics, 2009 (4), JHEP04(2009)062-[24pp]. (doi:10.1088/1126-6708/2009/04/062).

Record type: Article

Abstract

We examine the hydrodynamic limit of non-conformal branes using the recently developed precise holographic dictionary. We first streamline the discussion of holography for backgrounds that asymptote locally to non-conformal brane solutions by showing that all such solutions can be obtained from higher dimensional asymptotically locally AdS solutions by suitable dimensional reduction and continuation in the dimension. As a consequence, many holographic results for such backgrounds follow from the corresponding results of the Asymptotically AdS case. In particular, the hydrodynamics of non-conformal branes is fully determined in terms of conformal hydrodynamics. Using previous results on the latter we predict the form of the non-conformal hydrodynamic stress tensor to second order in derivatives. Furthermore we show that the ratio between bulk and shear viscosity is fixed by the generalized conformal structure to be ?/? = 2(1/(d?1)?cs2), where cs is the speed of sound in the fluid.

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More information

Published date: 2009
Keywords: p-branes, gauge-gravity correspondence, d-branes, AdS-CFT correspondence
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 341272
URI: http://eprints.soton.ac.uk/id/eprint/341272
PURE UUID: 4e22be22-6690-4015-8d52-b92ddcb8eea3
ORCID for Kostas Skenderis: ORCID iD orcid.org/0000-0003-4509-5472

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Date deposited: 25 Jul 2012 11:08
Last modified: 09 Nov 2021 03:25

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Author: Ingmar Kanitscheider

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