Holographic Order from Modular Chaos

Abstract

We argue for an exponential bound characterizing the chaotic properties of modular Hamiltonian flow of QFT subsystems. In holographic theories, maximal modular chaos is reflected in the local Poincare symmetry about a Ryu-Takayanagi surface. Generators of null deformations of the bulk extremal surface map to modular scrambling modes -positive CFT operators saturating the bound- and their algebra probes the bulk Riemann curvature, clarifying the modular Berry curvature proposal of arXiv:1903.04493.

22 pages + Appendix

References in corpus (2)

• Conformal collider physics: Energy and charge correlations
• Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs

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