任意尺寸的等离子体块
Lumps of plasma in arbitrary dimensions
摘要：
我们使用AdS/CFT对应在一个政权，在该政权中的场论减少到流体动力学Scherk-Schwarz紧化AdS（d+2）空间中构建一个无限类的新的黑色对象。我们的组态是对黑对象的对偶，黑对象推广了黑环并具有视界拓扑S^（d-n）x T^n，其中n小于或等于（d-1）/2。局部地，我们的流体构型是等离子体片，其弯曲成环面，环面的半径与片的厚度相比是大的（这些半径的比率构成允许这些构型的微扰构造的小参数）。这些环形结构是由角动量稳定的。我们详细研究了对偶视界拓扑为S^3 x S^1、S^4 x S^1和S^3 x T^2的解，特别是研究了这些对象的热力学性质。我们还提出了一个正式的一般建设的最一般的固定配置的流体边界，解决d维相对论纳维-斯托克斯方程。
英文摘要：
We use the AdS/CFT correspondence in a regime in which the field theory reduces to fluid dynamics to construct an infinite class of new black objects in Scherk-Schwarz compactified AdS(d+2) space. Our configurations are dual to black objects that generalize black rings and have horizon topology S^(d-n) x T^n, for n less than or equal to (d-1)/2. Locally our fluid configurations are plasma sheets that curve around into tori whose radii are large compared to the thickness of the sheets (the ratio of these radii constitutes a small parameter that permits the perturbative construction of these configurations). These toroidal configurations are stabilized by angular momentum. We study solutions whose dual horizon topologies are S^3 x S^1, S^4 x S^1 and S^3 x T^2 in detail; in particular we investigate the thermodynamic properties of these objects. We also present a formal general construction of the most general stationary configuration of fluids with boundaries that solve the d-dimensional relativistic Navier-Stokes equation.
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