Holographic entanglement entropy of the BTZ black hole

Abstract

We investigate quantum entanglement of gravitational configurations in 3D AdS gravity using the AdS/CFT correspondence. We derive explicit formulas for the holographic entanglement entropy (EE) of the BTZ black hole, conical singularities and regularized AdS${}_3$. The leading term in the large temperature expansion of the holographic EE of the BTZ black hole reproduces exactly its Bekenstein-Hawking entropy S_BH, whereas the subleading term behaves as ln S_BH. We also show that the leading term of the holographic EE for the BTZ black hole can be obtained from the large temperature expansion of the partition function of a broad class of 2D CFTs on the torus. This result indicates that black hole EE is not a fundamental feature of the underlying theory of quantum gravity but emerges when the semiclassical notion of spacetime geometry is used to describe the black hole.

We added the comparison of some of our results with previous results for the quantum entropy of a scalar in the Euclidean BTZ background. Two more references have been also added

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Cited by in corpus (28)

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• Holographic entanglement negativity conjecture for adjacent intervals in $Ad{S}_3/CF{T}_2$
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• Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_3/CF{\mathrm{T}}_2$
• Holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Entanglement thermodynamics for charged black holes
• Quasinormal Modes and Thermodynamics of Linearly Charged BTZ Black holes in Massive Gravity in (Anti)de Sitter Space Time
• Hunting Quantum Gravity with Analogs: the case of graphene
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• Quantum thermodynamics of holographic quenches and bounds on the growth of entanglement from the QNEC
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Entanglement Thermodynamics of the Generalized Charged BTZ Black Hole
• Power Law Corrections to BTZ Black Hole Entropy
• AdS/CFT Correspondence with a 3D Black Hole Simulator
• Firewalls as artefacts of inconsistent truncations of quantum geometries
• Logarithmic Corrections to the Entropy of Scalar Field in BTZ Black Hole Space-time
• Fermion Fields in BTZ Black Hole Space-Time and Entanglement Entropy
• Entanglement in conformal field theory and holography
• Holographic entanglement entropy and complexity of microstate geometries
• Scalar Field in Massive BTZ Black Hole and Entanglement Entropy
• Entanglement Entropy for the Charged BTZ Black Hole
• Holographic entanglement entropy for relativistic hydrodynamic flows
• Holographic entanglement negativity for disjoint subsystems in $\mathrm{Ad}{\mathrm{S}}_{\mathrm{d}+1}/CF{\mathrm{T}}_{\mathrm{d}}$
• How is the Presence of Horizons and Localized Matter Encoded in the Entanglement Entropy?