A cardy formula for three-point coefficients or how the black hole got its spots
A cardy formula for three-point coefficients or how the black hole got its spots
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三点系数的卡迪公式或黑洞如何获得它的斑点
DOI：
10.1007/jhep05(2017)160
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发表时间：
2016
影响因子：
5.4
通讯作者：
A. Maloney
中科院分区：
文献类型：
--
作者：
P. Kraus;A. Maloney
环面一点函数的模协方差约束了二维CFT的三点函数系数。这导致了一个关于轻-重-重三点系数平均值的渐近公式，推广了Cardy关于状态高能量密度的公式。利用环面上的一点共形块的渐近性质进行了推导。我们的渐近公式与黑洞背景下单点函数的对偶AdS3计算相匹配。这证明了BTZ黑洞几何形状是在一个合适的重微观态家族的过程粒化中出现的。
A bstractModular covariance of torus one-point functions constrains the three point function coefficients of a two dimensional CFT. This leads to an asymptotic formula for the average value of light-heavy-heavy three point coefficients, generalizing Cardy’s formula for the high energy density of states. The derivation uses certain asymptotic properties of one-point conformal blocks on the torus. Our asymptotic formula matches a dual AdS3 computation of one point functions in a black hole background. This is evidence that the BTZ black hole geometry emerges upon course-graining over a suitable family of heavy microstates.