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.
Original language | English (US) |
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Article number | 110 |
Journal | Journal of High Energy Physics |
Volume | 2016 |
Issue number | 12 |
DOIs | |
State | Published - Dec 1 2016 |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Keywords
- AdS-CFT Correspondence
- Conformal Field Theory
- Spontaneous Symmetry Breaking