A Quantum Correction To Chaos

Abstract

We use results on Virasoro conformal blocks to study chaotic dynamics in CFT${}_2$ at large central charge c. The Lyapunov exponent ${\lambda }_L$, which is a diagnostic for the early onset of chaos, receives $1/c$ corrections that may be interpreted as ${\lambda }_L=\frac{2\pi }{\beta }\left(1+\frac{12}{c}\right)$. However, out of time order correlators receive other equally important $1/c$ suppressed contributions that do not have such a simple interpretation. We revisit the proof of a bound on ${\lambda }_L$ that emerges at large $c$, focusing on CFT${}_2$ and explaining why our results do not conflict with the analysis leading to the bound. We also comment on relationships between chaos, scattering, causality, and bulk locality.

22+6 pages, 6 figures

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Cited by in corpus (5)

• Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks
• On Information Loss in AdS${}_3$/CFT${}_2$
• Holographic Entanglement Entropy For a Large Class of States in 2D CFT
• Out-of-Time-Ordered Correlators in $(T^2{)}^n/{\mathbb{Z}}_n$
• Four-point function in the IOP matrix model