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On CFT and quantum chaos

Author(s): Turiaci, Gustavo J.; Verlinde, Herman L.

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Abstract: 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.
Publication Date: 21-Dec-2016
Electronic Publication Date: 21-Dec-2016
Citation: Turiaci, Gustavo J., Verlinde, Herman. (2016). On CFT and quantum chaos. JOURNAL OF HIGH ENERGY PHYSICS, doi:10.1007/JHEP12(2016)110
DOI: doi:10.1007/JHEP12(2016)110
ISSN: 1029-8479
Pages: 1 - 21
Type of Material: Journal Article
Version: Final published version. This is an open access article.

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