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.
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Turiaci, G.J., Verlinde, H. On CFT and quantum chaos. J. High Energ. Phys. 2016, 110 (2016). https://doi.org/10.1007/JHEP12(2016)110
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DOI: https://doi.org/10.1007/JHEP12(2016)110