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arXiv 0901.1487hep-th
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非共形膜的泛流体力学

Universal hydrodynamics of non-conformal branes

Ingmar Kanitscheider, Kostas Skenderis

摘要:

我们研究流体动力学极限的非共形膜使用最近开发的精确全息字典。我们首先流线的背景,渐近局部非共形膜的解决方案,所有这些解决方案可以从高维渐近局部AdS解决方案,通过适当的降维和连续的维度的讨论全息。因此,许多全息的结果,这样的背景下,从相应的结果的渐近AdS的情况下。特别地,非共形膜的流体力学完全由共形流体力学决定。利用以前的结果,后者,我们预测的形式的非共形水动力应力张量的二阶导数。此外,我们还证明了体粘滞系数与剪切粘滞系数之比由广义保形结构确定为η/η= 2(1/(d-1)-cs ^2),其中cs是流体中的声速.

英文摘要:

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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