4.5 Article

Hydrodynamics from the Dp-brane

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JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -

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SPRINGER
DOI: 10.1088/1126-6708/2007/05/036

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black holes in string theory; AdS-CFT correspondence

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We compute the shear viscosity eta, the bulk viscosity zeta, and the speed of sound v(s) for theories dual to the near horizon geometries that arise from a stack of black Dp-branes for p = 2,...,6 in the decoupling limit. The main new result is the bulk viscosity which, for all p, is found to berelated to the speed of sound by the simple relation. zeta/eta = - 2 ( v(s)(2) - 1/p). For completeness the shear viscosity is rederived from gravitational perturbations in the shear and scalar channels. We comment on technical issues like the counterterms needed, or the possible dependence on the conformal frame.

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