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arXiv 1801.02589hep-thgr-qc
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从长弦现象看non-AdS全息术

Towards non-AdS Holography via the Long String Phenomenon

Sam van Leuven, Erik P. Verlinde, Manus R. Visser

摘要:

AdS空间的微观描述服从全息原理,在这个意义上,微观自由度的数量由全息边界的面积给出。我们假设这同样适用于非AdS时空的微观全息理论,特别是闵可夫斯基、德西特和曲率半径以下的AdS。通过从AdS/CFT中吸取一般的经验教训,我们导出了这些非AdS几何的全息理论的截止能量。与AdS/CFT相反,激发能在体相中向红外方向减小,这与黑洞的负比热有关。我们构造了一个非AdS几何和$AdS_3\!\times\! S^{q}$时空之间的共形映射,并将非AdS空间的全息理论的微观性质与对称乘积CFTs的微观性质联系起来。我们发现,负责反转的能量-距离关系的机制对应于长弦现象。同样的机制自然地解释了非AdS黑洞的负比热和(A)dS时空中的真空能量值。

英文摘要:

The microscopic description of AdS space obeys the holographic principle in the sense that the number of microscopic degrees of freedom is given by the area of the holographic boundary. We assume the same applies to the microscopic holographic theories for non-AdS spacetimes, specifically for Minkowski, de Sitter, and AdS below its curvature radius. By taking general lessons from AdS/CFT we derive the cut-off energy of the holographic theories for these non-AdS geometries. Contrary to AdS/CFT, the excitation energy decreases towards the IR in the bulk, which is related to the negative specific heat of black holes. We construct a conformal mapping between the non-AdS geometries and $AdS_3\!\times\! S^{q}$ spacetimes, and relate the microscopic properties of the holographic theories for non-AdS spaces to those of symmetric product CFTs. We find that the mechanism responsible for the inversion of the energy-distance relation corresponds to the long string phenomenon. This same mechanism naturally explains the negative specific heat for non-AdS black holes and the value of the vacuum energy in (A)dS spacetimes.

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