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arXiv 1711.02459hep-thgr-qc
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二维膨胀AdS引力场的对称性、全息性和量子相变

Symmetries, Holography and Quantum Phase Transition in Two-dimensional Dilaton AdS Gravity

Mariano Cadoni, Matteo Ciulu, Matteo Tuveri

摘要:

我们提出了一个修订的Almheiri-Polchinski引力模型从二维(2D)散装的角度来看。我们描述了该模型的一个独特的功能,即模式的共形对称性破缺使用散装Killing矢量,协变定义的质量和不同的真空之间的流动的理论。我们表明,对称性破缺的效果是产生的红外尺度(质量间隙),并使当地的戈德斯通模式与渐近对称的二维时空。这样,在对偶共形理论中就产生了一个非零的中心荷,它解释了二维黑洞的微观熵。使用协变质量允许比较积极的两个不同的真空的理论,并表明,在零温度的真空与一个恒定的电子是积极的首选。我们还翻译在散装语言的几个功能的双CFT讨论Maldacena等人。提升的二维模型$(d+2)-$维理论表现出超标度违反简要讨论。

英文摘要:

We present a revisitation of the Almheiri-Polchinski dilaton gravity model from a two-dimensional (2D) bulk perspective. We describe a peculiar feature of the model, namely the pattern of conformal symmetry breaking using bulk Killing vectors, a covariant definition of mass and the flow between different vacua of the theory. We show that the effect of the symmetry breaking is both the generation of an infrared scale (a mass gap) and to make local the Goldstone modes associated with the asymptotic symmetries of the 2D spacetime. In this way a non vanishing central charge is generated in the dual conformal theory, which accounts for the microscopic entropy of the 2D black hole. The use of covariant mass allows to compare energetically the two different vacua of the theory and to show that at zero temperature the vacuum with a constant dilaton is energetically preferred. We also translate in the bulk language several features of the dual CFT discussed by Maldacena et al. The uplifting of the 2D model to $(d+2)-$dimensional theories exhibiting hyperscaling violation is briefly discussed.

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