期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2016)110
关键词
AdS-CFT Correspondence; Conformal Field Theory; Spontaneous Symmetry Breaking
资金
- NSF [PHY-1620059]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1314198] Funding Source: National Science Foundation
We make three observations that help clarify the relation between CFT and quantum chaos. We show that any 1+ 1-D system in which conformal symmetry is non-linearly realized exhibits two main characteristics of chaos: maximal Lyapunov behavior and a spectrum of Ruelle resonances. We use this insight to identify a lattice model for quantum chaos, built from parafermionic spin variables with an equation of motion given by a Y-system. Finally we point to a relation between the spectrum of Ruelle resonances of a CFT and the analytic properties of OPE coefficients between light and heavy operators. In our model, this spectrum agrees with the quasi-normal modes of the BTZ black hole.
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