Universal hydrodynamics of non-conformal branes

I Kanitscheider, K Skenderis - Journal of High Energy Physics, 2009 - iopscience.iop.org
Journal of High Energy Physics, 2009iopscience.iop.org
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 …
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 ζ/η= 2 (1/(d− 1)− c s 2), where c s is the speed of sound in the fluid.
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