Holographic order from modular chaos
Jan de Boer, Lampros Lamprou
Abstract
A bstract 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.
Topics & Concepts
ScramblingModular designRiemann surfaceChaoticCurvatureHamiltonian (control theory)MathematicsHolographyPoincaré conjecturePure mathematicsTheoretical physicsPhysicsHamiltonian systemMathematical physicsQuantum mechanicsGeometryComputer scienceAlgorithmOperating systemArtificial intelligenceMathematical optimizationBlack Holes and Theoretical PhysicsGeometry and complex manifoldsCosmology and Gravitation Theories