Chaos bound in Bershadsky-Polyakov theory
arXiv:1906.00667 · doi:10.1007/JHEP10(2019)077
Abstract
We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator Φwith large dimension Δ_Φ~ O(c) at spatial infinities in the thermal state. We argue that correlation functions of light operators in such a state can be viewed as thermal correlators with a rescaled effective temperature. The effective temperature controls the growth of out-of-time order (OTO) correlators and results in a violation of the universal upper bound on the associated Lyapunov exponent when Δ_Φ<0 and the CFT is nonunitary. We present a specific realization of this situation in the holographic Chern-Simons formulation of a CFT with {W}^{(2)}_3 symmetry also known as the Bershadsky-Polyakov algebra. We examine the precise correspondence between the semiclassical (large-c) representations of this algebra and the Chern-Simons formulation, and infer that the holographic CFT possesses a discretuum of degenerate ground states with negative conformal dimension Δ_Φ=- c/8. Using the Wilson line prescription to compute entanglement entropy and OTO correlators in the holographic CFT undergoing a local quench, we find the Lyapunov exponent λ_L = 4π/ β, violating the universal chaos bound.
arXiv comment45 pages, 4 figures, version published in JHEP
References in corpus (33)
- A bound on chaos
- Conformal collider physics: Energy and charge correlations
- Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
- Entanglement negativity in quantum field theory
- Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
- Universality of Long-Distance AdS Physics from the CFT Bootstrap
- Virasoro Conformal Blocks and Thermality from Classical Background Fields
- Entanglement negativity in extended systems: A field theoretical approach
- Higher Spin Black Holes
- Averaged Null Energy Condition from Causality
- Causality Constraints in Conformal Field Theory
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- Spacetime Geometry in Higher Spin Gravity
- Wilson Lines and Entanglement Entropy in Higher Spin Gravity
- Bounding the Space of Holographic CFTs with Chaos
- A Proof of the Conformal Collider Bounds
- Quantum Entanglement of Localized Excited States at Finite Temperature
- Entanglement Entropy and Higher Spin Holography in AdS
- Higher Spin Entanglement and W_N Conformal Blocks
- Thermodynamics of higher spin black holes in 3D
- Scrambling time from local perturbations of the eternal BTZ black hole
- Monodromic vs geodesic computation of Virasoro classical conformal blocks
- Higher-point conformal blocks and entanglement entropy in heavy states
- On the Chaos Bound in Rotating Black Holes
- Phases of scrambling in eigenstates
- Higher spin entanglement entropy from CFT
- Universal corrections to entanglement entropy of local quantum quenches
- Rationality of Bershadsky-Polyakov vertex algebras
- Constraints on Higher Spin CFT
- Scrambling time from local perturbations of the rotating BTZ black hole
- Local quenches and quantum chaos from higher spin perturbations
- Chaos in Three-dimensional Higher Spin Gravity
- Chaos in the Fishnet
Cited by in corpus (5)
- Phase transition and chaos in charged SYK model
- Chaos and operator growth in 2d CFT
- Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
- Bound on Lyapunov exponent in Einstein-Maxwell-Dilaton-Axion black holes
- Finite temperature corrections to black hole quasinormal modes from 2D CFT