Dam T. Son and Andrei O. Starinets JHEP03(2006)052 doi:10.1088/1126-6708/2006/03/052
Hydrodynamics of R-charged black holes
Dam T. Son1 and Andrei O. Starinets2
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= 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 1/4π. 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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E-print Number: hep-th/0601157
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- PACS
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04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
11.10.Wx Finite-temperature field theory
04.25.-g Approximation methods; equations of motion
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
- Subjects
- Dates
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Issue 03 (March 2006)
Received 6 February 2006, accepted for publication 1 March 2006
Published 15 March 2006
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