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arXiv 1602.07712hep-thgr-qc
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磁荷黑膜与粘熵比

Magnetically-Charged Black Branes and Viscosity/Entropy Ratios

Hai-Shan Liu, H. Lu, C. N. Pope

摘要:

我们考虑在引力理论中的渐近AdS $n$维黑膜解,该解耦合到一组$N$ $p$形式的场强,其中场强携带磁荷.对于适当选择的电荷,度量在$(n-2)$横向方向上是各向同性的。然而,一般来说,场强配置打破了$(n-2)$维横向空间的完全欧几里得对称性。然后,我们研究了在这些背景下的横向无痕度规扰动的线性化方程,并通过采用久保公式,我们得到的表达式$η/S$,剪切粘度熵密度的比值。我们发现,在这些解决方案中的比率$η/S$的KSS界一般被违反。我们还扩展了讨论,包括在理论中的电子标量场,导致解决方案,渐近Lifshitz超标度破坏。

英文摘要:

We consider asymptotically-AdS $n$-dimensional black brane solutions in a theory of gravity coupled to a set of $N$ $p$-form field strengths, in which the field strengths carry magnetic charges. For appropriately chosen charges, the metrics are isotropic in the $(n-2)$ transverse directions. However, in general the field strength configurations break the full Euclidean symmetry of the $(n-2)$-dimensional transverse space. We then study the linearised equation for transverse traceless metric perturbations in these backgrounds, and by employing the Kubo formula we obtain expressions for $η/S$, the ratio of shear viscosity to entropy density. We find that the KSS bound on the ratio $η/S$ is generally violated in these solutions. We also extend the discussion by including also a dilatonic scalar field in the theory, leading to solutions that are asymptotically Lifshitz with hyperscaling violation.

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