Entanglement and chaos in warped conformal field theories

Abstract

Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and dominance of the vacuum block in the conformal block expansion, (i) we calculate the single-interval entanglement entropy on an excited state, matching previous finite temperature results by changing the ensemble; and (ii) we show that WCFTs are maximally chaotic, a result that is compatible with the existence of black holes in the holographic duals. Finally, we relax the aforementioned assumptions and study the time evolution of the Renyi entropy after a local quench. We find that the change in the Renyi entropy is topological, vanishing at early and late times, and nonvanishing in between only for charged states in spectrally-flowed WCFTs.

31 pages; v2: corrected typos, matches published version

References in corpus (17)

• Towards a derivation of holographic entanglement entropy
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Warped AdS_3 Black Holes
• The BMS/GCA correspondence
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Entanglement entropy in Galilean conformal field theories and flat holography
• Semi-classical central charge in topologically massive gravity
• Quantum Dimension as Entanglement Entropy in 2D CFTs
• Boundary conditions for spacelike and timelike warped AdS_3 spaces in topologically massive gravity
• Warped Conformal Field Theory as Lower Spin Gravity
• Holographic Description of AdS_2 Black Holes
• Central Charge for AdS_2 Quantum Gravity
• Another Realization of Kerr/CFT Correspondence
• Disrupting Entanglement of Black Holes
• Entanglement of Local Operators in large N CFTs
• Notes on Quantum Entanglement of Local Operators
• Rényi entropy of locally excited states with thermal and boundary effect in 2D CFTs

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• Entanglement Entropy, OTOC and Bootstrap in 2D CFTs from Regge and Light Cone Limits of Multi-point Conformal Block
• Swing surfaces and holographic entanglement beyond AdS/CFT
• The quasi-particle picture and its breakdown after local quenches: mutual information, negativity, and reflected entropy
• Warped Symmetries of the Kerr Black Hole
• Modular Hamiltonians in flat holography and (W)AdS/WCFT
• On the real-time evolution of pseudo-entropy in 2d CFTs
• 2d Galilean Field Theories with Anisotropic Scaling
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• Complexity of warped conformal field theory
• Entanglement Entropy after Double-Excitation as Interaction Measure
• Reflected Entropy in AdS${}_3$/WCFT
• Structure Constants from Modularity in Warped CFT
• Supersymmetric Warped Conformal Field Theory
• Rényi Mutual Information in Holographic Warped CFTs
• Universal Local Operator Quenches and Entanglement Entropy
• From locality to irregularity: Introducing local quenches in massive scalar field theory
• Note on Bulk Reconstruction in AdS${}_3$/WCFT${}_2$
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Chaos, Phase Transitions and Curvature Invariants of (rotating, warped, massive) BTZ Black Holes
• Modular matrices of 2d Carrollian and warped CFTs
• Warped CFT duals of the Plebański-Demiański family of solutions
• Gravitational radiations of Kerr black hole from warped symmetries