Hydrodynamics of R-charged black holes
Hydrodynamics of R-charged black holes
We consider hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge. In the regime of large Nc and large 't Hooft coupling the gravity dual description involves an asymptotically Anti- de Sitter five-dimensional charged black hole solution of Behrnd, Cvetic and Sabra. We compute the shear viscosity as a function of chemical potentials conjugated to the three U(1)?SO(6)R charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to 1/4?. For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.
AdS-CFT correspondence, black holes in string theory, thermal field theory
1-18
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O
f5f34175-e6c9-4c8e-8f21-da6ff19e6af2
2006
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O
f5f34175-e6c9-4c8e-8f21-da6ff19e6af2
Abstract
We consider hydrodynamics of = 4 supersymmetric SU(Nc) Yang-Mills plasma at a nonzero density of R-charge. In the regime of large Nc and large 't Hooft coupling the gravity dual description involves an asymptotically Anti- de Sitter five-dimensional charged black hole solution of Behrnd, Cvetic and Sabra. We compute the shear viscosity as a function of chemical potentials conjugated to the three U(1)?SO(6)R charges. The ratio of the shear viscosity to entropy density is independent of the chemical potentials and is equal to 1/4?. For a single charge black hole we also compute the thermal conductivity, and investigate the critical behavior of the transport coefficients near the boundary of thermodynamic stability.
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Published date: 2006
Keywords:
AdS-CFT correspondence, black holes in string theory, thermal field theory
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Local EPrints ID: 57601
URI: http://eprints.soton.ac.uk/id/eprint/57601
PURE UUID: 730c9b2b-e4cb-4f02-af83-2b99c51ab99d
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Date deposited: 14 Aug 2008
Last modified: 15 Mar 2024 11:07
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Author:
D.T. Son
Author:
A.O Starinets
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