Entanglement Entropy in Flat Holography

Abstract

BMS symmetry, which is the asymptotic symmetry at null infinity of flat spacetime, is an important input for flat holography. In this paper, we give a holographic calculation of entanglement entropy and Rényi entropy in three dimensional Einstein gravity and Topologically Massive Gravity. The geometric picture for the entanglement entropy is the length of a spacelike geodesic which is connected to the interval at null infinity by two null geodesics. The spacelike geodesic is the fixed points of replica symmetry, and the null geodesics are along the modular flow. Our strategy is to first reformulate the Rindler method for calculating entanglement entropy in a general setup, and apply it for BMS invariant field theories, and finally extend the calculation to the bulk.

48pages, 1 figure

References in corpus (19)

• Towards a derivation of holographic entanglement entropy
• Gravity duals for non-relativistic CFTs
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Warped AdS_3 Black Holes
• The BMS/GCA correspondence
• Deriving covariant holographic entanglement
• Flat Holography: Aspects of the dual field theory
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Entanglement entropy in Galilean conformal field theories and flat holography
• Flat-Space Chiral Gravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Cargese Lectures on the Kerr/CFT Correspondence
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Holographic entanglement entropy and gravitational anomalies
• Holography and Entanglement in Flat Spacetime
• The BMS Bootstrap
• Aspects of Flat/CCFT Correspondence
• Rindler/Contracted-CFT Correspondence
• Linking Past and Future Null Infinity in Three Dimensions

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• Coarse Graining Holographic Black Holes
• Magic Fermions: Carroll and Flat Bands
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• Carroll black holes
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• Local quantum energy conditions in non-Lorentz-invariant quantum field theories
• Semi-classical BMS${}_3$ blocks and flat holography
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• Entanglement and chaos in warped conformal field theories
• Entanglement contour and modular flow from subset entanglement entropies
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• Non-Lorentzian Chaos and Cosmological Holography
• On Galilean conformal bootstrap
• A BMS-invariant free fermion model
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• Gravitation in flat spacetime from entanglement
• Logarithmic Celestial Conformal Field Theory
• The Shadow Formalism of Galilean CFT${}_2$
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
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• BMS Field Theories and Weyl Anomaly
• Rényi Mutual Information in Holographic Warped CFTs
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• Carroll Hawking effect
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• BMS Modular Diaries: Torus one-point function
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• Reflected entropy in Galilean conformal field theories and flat holography
• Holographic Timelike Entanglement Entropy from Rindler Method
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• Flat-Space Limit of Holographic Pseudo Entropy in (A)dS Spacetimes
• Flatspace Chiral Supergravity
• Non-Lorentzian Kač-Moody Algebras
• Anomalous Gravitation and its Positivity from Entanglement
• Holographic Entanglement negativity in flat space generalized minimal massive gravity
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• Chern-Simons Gravity Dual of BCFT
• Bulk Locality and Asymptotic Causal Diamonds
• Supersymmetric Galilean conformal blocks
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• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
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• First Law and Quantum Correction for Holographic Entanglement Contour
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• Anisotropic conformal Carroll field theories and their gravity duals
• Entanglement Rényi entropies in celestial holography
• Entanglement Negativity in Flat Holography
• Thermal Corrections to Rényi Entropy in BMS Field Theory
• Holographic Entanglement Entropy in flat limit of the Generalized Minimal Massive Gravity model
• Carrollian superconformal theories and super BMS
• Holographic CCFT Pseudo-Entropy
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy