On CFT and quantum chaos

Gustavo J. Turiaci, Herman Verlinde

Research output: Contribution to journalArticle

43 Scopus citations

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 languageEnglish (US)
Article number110
JournalJournal of High Energy Physics
Volume2016
Issue number12
DOIs
StatePublished - Dec 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Spontaneous Symmetry Breaking

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