AI 中文总结
本文将Fyodorov-Hiary-Keating猜想推广到量子引力中的黑洞微观态计数，通过全息对偶得到共形场论中高维初级算子区间计数的尖锐界，并揭示其极端波动由具有指定尾分布的随机变量刻画。
AI 中文摘要
我们为量子引力中的黑洞微观态计数构建了Fyodorov-Hiary-Keating猜想的一个化身。通过全息对偶，这意味着共形场论中高维初级算子区间计数的尖锐界。这些计数的极端波动由一个具有指定尾分布的随机变量刻画。在大的$N$下，这些阶为一的波动为半经典AdS引力路径积分的分辨率设定了定量极限。状态计数的高斯随机模型在此背景下自然出现；我们将AdS/CFT中$N$依赖性的波动现象表达为这些模型的去相关性质。我们的更广泛观点是，AdS黑洞微观态谱及其场论对偶应表现出随机矩阵的极端值统计，属于高斯对数相关场的普适类。
英文摘要
We formulate an avatar of the Fyodorov-Hiary-Keating conjecture for black hole microstate counts in quantum gravity. By holography, this implies sharp bounds on interval counts of high-dimension primary operators in conformal field theory. The extremal fluctuations of these counts are characterized by a random variable, with a prescribed tail distribution. At large $N$, these order-one erratic fluctuations set a quantitative limit on the resolution of the semiclassical AdS gravitational path integral. Gaussian random models for state counts arise naturally in this context; we express the phenomenon of erratic $N$-dependence in AdS/CFT as a decorrelation property of these models. Our broader point is to suggest that AdS black hole microstate spectra and their field theory duals should exhibit the extreme value statistics of random matrices, lying in the universality class of Gaussian log-correlated fields.
Comments36 pages. v2: minor clarifications, corrected typos, added refs
