Erratum to: Black holes and random matrices
Erratum to: Black holes and random matrices
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DOI：
10.1007/jhep09(2018)002
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发表时间：
2018-09
影响因子：
5.4
通讯作者：
Jordan S. Cotler;Guy Gur-Ari;M. Hanada;J. Polchinski;Phil Saad;S. Shenker;D. Stanford;Alexandre Streicher;Masaki Tezuka
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文献类型：
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作者：
Jordan S. Cotler;Guy Gur-Ari;M. Hanada;J. Polchinski;Phil Saad;S. Shenker;D. Stanford;Alexandre Streicher;Masaki Tezuka
我们认为大反德西特（AdS）黑洞视界涨落的晚时行为是由量子混沌系统的随机矩阵动力学特性控制的。我们的主要工具是Sachdev-Ye-Kitaev （SYK）模型，我们用它作为黑洞的简单模型。我们使用解析连续配分函数| Z (β+ it)| 2以及相关函数作为诊断。利用数值方法建立了后期随机矩阵的行为。我们在双尺度极限下精确地确定了早期时间行为，给出了对随机矩阵行为的交叉时间的合理估计。我们使用这些想法来形成一个关于一般大AdS黑洞的猜想，就像那些对偶到四维的超级杨-米尔斯理论，给出了交叉时间的临时估计。我们对从整体角度理解晚时间动力学所面临的挑战作了一些初步的评论。
We argue that the late time behavior of horizon fluctuations in large anti-de Sitter (AdS) black holes is governed by the random matrix dynamics characteristic of quantum chaotic systems. Our main tool is the Sachdev-Ye-Kitaev (SYK) model, which we use as a simple model of a black hole. We use an analytically continued partition function| Z (β+ it)| 2 as well as correlation functions as diagnostics. Using numerical techniques we establish random matrix behavior at late times. We determine the early time behavior exactly in a double scaling limit, giving us a plausible estimate for the crossover time to random matrix behavior. We use these ideas to formulate a conjecture about general large AdS black holes, like those dual to 4D super-Yang-Mills theory, giving a provisional estimate of the crossover time. We make some preliminary comments about challenges to understanding the late time dynamics from a bulk point of view.