Universal hydrodynamics of non-conformal branes
Kanitscheider, Ingmar and Skenderis, Kostas (2009) Universal hydrodynamics of non-conformal branes. Journal of High Energy Physics, 2009, (04), JHEP04(2009)062-[24pp]. (doi:10.1088/1126-6708/2009/04/062).
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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)−cs2), where cs is the speed of sound in the fluid.
|Keywords:||p-branes, gauge-gravity correspondence, d-branes, AdS-CFT correspondence|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Divisions:||Faculty of Social and Human Sciences > Mathematical Sciences
|Date Deposited:||25 Jul 2012 11:08|
|Last Modified:||26 Apr 2013 06:24|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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