Holographic Order from Modular Chaos
High Energy Physics - Theory
2020-06-24 v1
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.
Keywords
Cite
@article{arxiv.1912.02810,
title = {Holographic Order from Modular Chaos},
author = {Jan de Boer and Lampros Lamprou},
journal= {arXiv preprint arXiv:1912.02810},
year = {2020}
}
Comments
22 pages + Appendix