Holographic entanglement entropy and gravitational anomalies

Abstract

We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We show that the anomaly broadens the Ryu-Takayanagi minimal worldline into a ribbon, and that the anomalous contribution to the CFT entanglement entropy is given by the twist in this ribbon. The entanglement functional may also be interpreted as the worldline action for a spinning particle -- that is, an anyon -- in three-dimensional curved spacetime. We demonstrate that the minimization of this action results in the Mathisson-Papapetrou-Dixon equations of motion for a spinning particle in three dimensions. We work out several simple examples and demonstrate agreement with CFT calculations.

arXiv comment29 pages + Appendices, 4 figures

References in corpus (53)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Aspects of Holographic Entanglement Entropy
• A Covariant Holographic Entanglement Entropy Proposal
• Geometric and Renormalized Entropy in Conformal Field Theory
• Generalized gravitational entropy
• Chiral Gravity in Three Dimensions
• Warped AdS_3 Black Holes
• The motion of point particles in curved spacetime
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
• Holographic Entanglement Entropy for General Higher Derivative Gravity
• Galilean Conformal Algebras and AdS/CFT
• Holography of 3d Flat Cosmological Horizons
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Instability in cosmological topologically massive gravity at the chiral point
• Generalized entropy and higher derivative Gravity
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Black hole mass and angular momentum in topologically massive gravity
• The black holes of topologically massive gravity
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Flat-Space Chiral Gravity
• Semi-classical central charge in topologically massive gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Holographic entanglement plateaux
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• On Representations and Correlation Functions of Galilean Conformal Algebras
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Thermodynamics of Higher Spin Black Holes in AdS${}_3$
• On short interval expansion of Rényi entropy
• Anomaly inflow and thermal equilibrium
• Dual dynamics of three dimensional asymptotically flat Einstein gravity at null infinity
• Kerr/CFT, dipole theories and nonrelativistic CFTs
• Warped AdS3/Dipole-CFT Duality
• The Constraint Algebra of Topologically Massive AdS Gravity
• Brown-Henneaux's Canonical Approach to Topologically Massive Gravity
• Holographic Rényi entropy for CFT with $W$ symmetry
• Comments on Renyi entropy in AdS${}_3$/CFT${}_2$
• Massive, Topologically Massive, Models
• Topologically Massive Higher Spin Gravity
• How Fluids Bend: the Elastic Expansion for Higher-Dimensional Black Holes
• Chiral Liouville Gravity
• Conditions on holographic entangling surfaces in higher curvature gravity
• Warped Entanglement Entropy
• Holographic Description of Gravitational Anomalies
• Holographic Rényi entropy in AdS${}_3$/LCFT${}_2$ correspondence
• Classical Spinning Branes in Curved Backgrounds
• Mathisson-Papapetrou equations in metric and gauge theories of gravity in a Lagrangian formulation
• Note on Chern-Simons Term Correction to Holographic Entanglement Entropy
• Zero-size objects in Riemann-Cartan spacetime

Cited by in corpus (61)

• Entanglement entropy: holography and renormalization group
• Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
• Entanglement entropy in Galilean conformal field theories and flat holography
• Entanglement Entropy in Flat Holography
• Entropy, Extremality, Euclidean Variations, and the Equations of Motion
• Higher Spin Entanglement and W_N Conformal Blocks
• On the Chaos Bound in Rotating Black Holes
• Holographic Entanglement and Poincare blocks in three dimensional flat space
• Quantum Chaos in Topologically Massive Gravity
• Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories
• Geometric actions and flat space holography
• Entanglement Wedge in Flat Holography and Entanglement Negativity
• Generalized Gravitational Entropy for Warped Anti-de Sitter Space
• Entanglement negativity, reflected entropy, and anomalous gravitation
• Semi-classical BMS${}_3$ blocks and flat holography
• 't Hooft anomalies and boundaries
• Islands with Gravitating Baths: Towards ER = EPR
• Gravitational anomalies, entanglement entropy, and flat-space holography
• Quantization of conical spaces in 3D gravity
• Short interval expansion of Rényi entropy on torus
• General Results for Higher Spin Wilson Lines and Entanglement in Vasiliev Theory
• Wilson Lines and Ishibashi States in AdS${}_3$/CFT${}_2$
• Anomalies of the Entanglement Entropy in Chiral Theories
• Modular Commutators in Conformal Field Theory
• Constraints on the effective fluid theory of stationary branes
• Electromagnetic Duality and Entanglement Anomalies
• Covariant entanglement wedge cross-section, balanced partial entanglement and gravitational anomalies
• Anomalies and Entanglement Entropy
• Entropy functionals and c-theorems from the second law
• Universality of anomalous conductivities in theories with higher-derivative holographic duals
• Entanglement Entropy & Anomaly Inflow
• Eternal Higher Spin Black Holes: a Thermofield Interpretation
• Structure Constants from Modularity in Warped CFT
• Covariant Noether Charge for Higher Dimensional Chern-Simons Terms
• Multi-centered higher spin solutions from $W_N$ conformal blocks
• Chaos in Three-dimensional Higher Spin Gravity
• On actions for (entangling) surfaces and DCFTs
• Symmetry Resolution in non-Lorentzian Field Theories
• Entropy for gravitational Chern-Simons terms by squashed cone method
• Bosonization, cocycles, and the D1-D5 CFT on the covering surface
• Anomalies, Chern-Simons Terms and Black Hole Entropy
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
• Anomalous Gravitation and its Positivity from Entanglement
• On the Shape of Things: From holography to elastica
• Perturbing a quantum black hole
• Logarithmic Correction to BMSFT Entanglement Entropy
• Relative Entropy, Mixed Gauge-Gravitational Anomaly and Causality
• Inverted c-functions in thermal states
• Fake gaps in AdS_3/CFT_2
• Dynamical sectors for a spinning particle in AdS_3
• First Law of Entanglement Entropy vs Black Hole Entropy in an Anomalous Theory
• Revisit the entanglement entropy with gravitational anomaly
• Information recovery from pure state geometries in 3D
• Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
• Spinning probes and helices in AdS${}_3$
• Holography for bulk states in 3D quantum gravity
• Strong subadditivity and holography
• Monstrous entanglement
• Entanglement Negativity in Flat Holography
• Entanglement, anomalies and Mathisson's helices
• Spacetime Bananas with EOW Branes and Spins