Entanglement Entropy of Extremal BTZ

Abstract

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and the boundary of the near-horizon limit of the extremal BTZ are in perfect agreement and have the form appropriate to a two-dimensional CFT with only the chiral part excited and the anti-chiral in the ground state. Furthermore, we analyze the universal limits of the entanglement entropy and recover the correct value of the thermal entropy for large entangling intervals and the first-law like relation for the small interval.

19 pages, v2 references, several clarifications and comments added

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Cited by in corpus (24)

• A hole-ographic spacetime
• Entanglement of Local Operators in large N CFTs
• Dilatonic BTZ black holes with power-law field
• Thermodynamic stability of charged BTZ black holes: Ensemble dependency problem and its solution
• On the Chaos Bound in Rotating Black Holes
• BTZ dilatonic black holes coupled to Maxwell and Born-Infeld electrodynamics
• Covariant holographic entanglement negativity
• Covariant Holographic Entanglement Negativity for Adjacent Subsystems in $\mathrm{Ad}{\mathrm{S}}_3/CF{\mathrm{T}}_2$
• Covariant holographic entanglement negativity for disjoint intervals in $Ad{S}_3/CF{T}_2$
• Holographic entanglement entropy in the nonconformal medium
• Entanglement thermodynamics for non-conformal D-branes
• Entanglement thermodynamics for charged black holes
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• On Holographic Entanglement Entropy with Second Order Excitations
• Holographic entanglement first law for d + 1 dimensional rotating cylindrical black holes
• Covariant holographic negativity from the entanglement wedge in AdS${}_3/$CFT${}_2$
• Free-kick condition for entanglement entropy in higher curvature gravity
• Three-dimensional AdS black holes in massive-power-Maxwell theor
• Structure of $3D$ gravastars in the context of massive gravity
• Covariant holographic reflected entropy in $Ad{S}_3/CF{T}_2$
• AdS3 Holography for 1/4 and 1/8 BPS geometries
• Covariant odd entanglement entropy in AdS${}_3$/CFT${}_2$
• Note on Mutual Information between Two Intervals of Extremal BTZ
• The Influence of Angular Momentum and Chemical Potential on Holographic Entanglement Entropy