Black Hole Collapse in the 1/c Expansion

Abstract

We present a first-principles CFT calculation corresponding to the spherical collapse of a shell of matter in three dimensional quantum gravity. In field theory terms, we describe the equilibration process, from early times to thermalization, of a CFT following a sudden injection of energy at time t=0. By formulating a continuum version of Zamolodchikov's monodromy method to calculate conformal blocks at large central charge c, we give a framework to compute a general class of probe observables in the collapse state, incorporating the full backreaction of matter fields on the dual geometry. This is illustrated by calculating a scalar field two-point function at time-like separation and the time-dependent entanglement entropy of an interval, both showing thermalization at late times. The results are in perfect agreement with previous gravity calculations in the AdS${}_3$-Vaidya geometry. Information loss appears in the CFT as an explicit violation of unitarity in the 1/c expansion, restored by nonperturbative corrections.

39 pages, references added, corresponds with published version

References in corpus (16)

• Holography from Conformal Field Theory
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Quantum quenches in 1+1 dimensional conformal field theories
• Thermalization of Strongly Coupled Field Theories
• Holographic Evolution of Entanglement Entropy
• Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Poincare Series, 3D Gravity and CFT Spectroscopy
• Bulk Emergence and the RG Flow of Entanglement Entropy
• The arrow of time, black holes, and quantum mixing of large N Yang-Mills theories
• A Matrix Model for Black Hole Thermalization
• Higher-point conformal blocks and entanglement entropy in heavy states
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
• Single Interval Rényi Entropy At Low Temperature
• Emergent space-time and the supersymmetric index
• Black hole formation from point-like particles in three-dimensional anti-de Sitter space

Cited by in corpus (102)

• The Page curve of Hawking radiation from semiclassical geometry
• Information radiation in BCFT models of black holes
• Digital Quantum Simulation of Minimal AdS/CFT
• Holographic Complexity in Vaidya Spacetimes II
• Scrambling the spectral form factor: unitarity constraints and exact results
• Black Hole Microstate Cosmology
• BCFT entanglement entropy at large central charge and the black hole interior
• Semiclassical 3D gravity as an average of large-c CFTs
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Universal Dynamics of Heavy Operators in CFT${}_2$
• Replica wormholes for an evaporating 2D black hole
• 2D CFT Partition Functions at Late Times
• A Numerical Approach to Virasoro Blocks and the Information Paradox
• Probing thermality beyond the diagonal
• On thermality of CFT eigenstates
• Exact Virasoro Blocks from Wilson Lines and Background-Independent Operators
• Universal Lowest-Twist in CFTs from Holography
• Universality of Sparse $d>2$ Conformal Field Theory at Large $N$
• An Exact Operator That Knows Its Location
• Integrability and Black-Hole Microstate Geometries
• Generalized Eigenstate Thermalization in 2d CFTs
• On the Late-Time Behavior of Virasoro Blocks and a Classification of Semiclassical Saddles
• Black Holes, Heavy States, Phase Shift and Anomalous Dimensions
• Sailing past the End of the World and discovering the Island
• Correlators at large c without information loss
• Entanglement negativity at large central charge
• Clocks and Rods in Jackiw-Teitelboim Quantum Gravity
• Phases of scrambling in eigenstates
• Modular crossings, OPE coefficients and black holes
• AdS${}_3$ Holography at Dimension Two
• Towards Black Hole Evaporation in Jackiw-Teitelboim Gravity
• Probing Universalities in d>2 CFTs: from Black Holes to Shockwaves
• From Conformal Blocks to Path Integrals in the Vaidya Geometry
• Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks
• Towards a Finite-$N$ Hologram
• On the Virasoro six-point identity block and chaos
• Wormholes from heavy operator statistics in AdS/CFT
• Linear response of entanglement entropy from holography
• Inside Out: Meet The Operators Inside The Horizon
• Leading Multi-Stress Tensors and Conformal Bootstrap
• Semi-classical BMS${}_3$ blocks and flat holography
• Holographic Description of 2D Conformal Block in Semi-classical Limit
• Generalized Gibbs Ensemble of 2d CFTs at large central charge in the thermodynamic limit
• Thermalization after holographic bilocal quench
• Thermalization in Large-N CFTs
• Operator mixing in deformed D1D5 CFT and the OPE on the cover
• Full action of two deformation operators in the D1D5 CFT
• Heavy-light Bootstrap from Lorentzian Inversion Formula
• Toward random tensor networks and holographic codes in CFT
• Scattering effect on entanglement propagation in RCFTs
• Local quenches, bulk entanglement entropy and a unitary Page curve
• Lightcone Commutator and Stress-Tensor Exchange in $d>2$ CFTs
• Holographic second laws of black hole thermodynamics
• Quantum thermalization and Virasoro symmetry
• Holographic Entanglement Entropy For a Large Class of States in 2D CFT
• Superluminal chaos after a quantum quench
• Entanglement Entropy after Double-Excitation as Interaction Measure
• Emergent gravity from Eguchi-Kawai reduction
• One-Loop Transition Amplitudes in the D1D5 CFT
• Holography and thermalization in optical pump-probe spectroscopy
• Extended Eigenstate Thermalization and the role of FZZT branes in the Schwarzian theory
• Quantum dimensions from local operator excitations in the Ising model
• Eigenstate Thermalisation in the conformal Sachdev-Ye-Kitaev model: an analytic approach
• Quantum Quench in Non-relativistic Fermionic Field Theory: Harmonic traps and 2d String Theory
• Multi-stress tensors and next-to-leading singularities in the Regge limit
• Gravitational collapse in SYK models and Choptuik-like phenomenon
• The AdS${}_3$ Propagator and the Fate of Locality
• The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds
• More on Wilson toroidal networks and torus blocks
• Thermalization in the D1D5 CFT
• Component twist method for higher twists in D1D5 CFT
• A Toy Model of the Information Paradox in Empty Space
• Radiation, entanglement and islands from a boundary local quench
• CFT correlators, $\mathcal{W}$-algebras and Generalized Catalan Numbers
• On the universality of late-time correlators in semi-classical 2d CFTs
• Holographic relations for OPE blocks in excited states
• Vacuum block thermalization in semi-classical 2d CFT
• Entanglement entropy in inhomogeneous quenches in AdS${}_3$/CFT${}_2$
• More on Heavy-Light Bootstrap up to Double-Stress-Tensor
• Thermalization of Holographic Excited States
• Driven Non-Unitary Dynamics of Quantum Critical Systems
• Holographic pump probe spectroscopy
• Toward Null State Equations in $d>2$
• Ergodicity breaking and deviation from Eigenstate Thermalisation in relativistic QFT
• Spinning Particle Geometries in AdS${}_3$/CFT${}_2$
• Towards complexity of primary-deformed Virasoro circuits
• A Strategy for Proving the Strong Eigenstate Thermalization Hypothesis : Chaotic Systems and Holography
• Information recovery from pure state geometries in 3D
• On the observer dependence of the Hilbert space near the horizon of black holes
• Resummation of Multi-Stress Tensors in Higher Dimensions
• Random Circuits in the Black Hole Interior
• Classical conformal blocks, Coulomb gas integrals and Richardson-Gaudin models
• Quantum Critical Collapse Abhors a Naked Singularity
• Holography for bulk states in 3D quantum gravity
• Operator growth and black hole formation
• Entanglement Entropy with a Time-dependent Hamiltonian
• Distinguishing pure and thermal states by Landauer's principle in open systems
• A monogamy paradox in empty flat space
• Renyi reflected entropy and entanglement wedge cross section with cosmic branes in AdS/BCFT
• On the Stress Tensor Light-ray Operator Algebra
• Holographic Black Hole Formation and Scrambling in Time-Ordered Correlators
• A Reverse Black Hole Information Problem