Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP05(2017)118
Keywords
1/N Expansion; AdS-CFT Correspondence; Field Theories in Lower Dimensions; Random Systems
Categories
Funding
- JSPS KAKENHI [JP25287046, JP15H05855, JP26870284, JP15K21717, JP17K17822]
- Fannie and John Hertz Foundation
- Stanford Graduate Fellowship program
- John Templeton Foundation
- NSF [PHY-1316699]
- Simons Foundation [385600]
- Grants-in-Aid for Scientific Research [17K17822, 17K14285] Funding Source: KAKEN
- Direct For Mathematical & Physical Scien
- Division Of Physics [1316699] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1620625] Funding Source: National Science Foundation
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We argue that the late time behavior of horizon fluctuations in large antide 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 vertical bar Z(beta + it)vertical bar(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.
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