Entanglement Entropy of AdS Black Holes

Cadoni, Mariano; Melis, Maurizio

doi:10.3390/e12112244

Cited by 38 publications

(42 citation statements)

References 64 publications

(155 reference statements)

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“…where G (d+1) N is the (d + 1)-dimensional Newton constant. Since its proposal the Ryu and Takayanagi conjecture has led to intensive research providing significant insights into the connections between space time geometry and entanglement [9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Covariant holographic entanglement negativity for adjacent subsystems in AdS3/CFT2

et al. 2019

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We propose a covariant holographic entanglement negativity construction for time dependent mixed states of adjacent intervals in (1 + 1)-dimensional conformal field theories dual to non-static bulk AdS 3 configurations. Our construction applied to (1 + 1)-dimensional conformal field theories with a conserved charge dual to non-extremal and extremal rotating BTZ black holes exactly reproduces the corresponding replica technique results, in the large central charge limit. We also utilize our construction to obtain the time dependent holographic entanglement negativity for the mixed state in question for the (1 + 1)-dimensional CFT dual to a bulk Vaidya-AdS 3 configuration. *

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Section: Introductionmentioning

confidence: 99%

Covariant holographic entanglement negativity for adjacent subsystems in AdS3/CFT2

et al. 2019

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“…In the context of the AdS/CF T correspondence, Ryu and Takayanagi in [3,4] proposed a prescription to compute the entanglement entropy of holographic CF T s. For a subsystem described by a spatial region A on the boundary the entanglement entropy is given from this conjecture by the area of the co-dimension two bulk AdS d+1 extremal surface anchored on the region A. In the recent past this has led to intense research activity into entanglement issues for diverse holographic CF T s both at zero and finite temperatures [5][6][7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Holographic entanglement negativity for adjacent subsystems in AdSd+1/CFTd

et al. 2018

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We establish our recently proposed holographic entanglement negativity conjecturefor mixed states of adjacent subsystems in conformal field theories with concrete higher dimensional examples. In this context we compute the holographic entanglement negativity for mixed states of adjacent subsystems in d-dimensional conformal field theories dual to bulk AdS d+1 vacuum and AdS d+1 -Schwarzschild black holes. These representative examples provide strong indication for the universality of our conjecture which affirms significant implications for diverse applications. *

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“…It has been shown that the modular parameter τ AdS of the CFT dual to AdS 3 at finite temperature is related to the modular parameter τ BT Z of the CFT dual to the BTZ black hole by the modular modular S transformation τ AdS = −1/τ BT Z [30,31]. Later, it has been shown that same relation holds for the modular parameter τ con of the CFT dual to AdS 3 with space conical singularities: τ con = −1/τ BT Z [32,33].…”

Section: Modular Transformationsmentioning

confidence: 84%

How is the presence of horizons and localized matter encoded in the entanglement entropy?

Cadoni

Jain

2017

Int. J. Mod. Phys. A

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Motivated by the new theoretical paradigm that views spacetime geometry as emerging from the entanglement of a pre-geometric theory, we investigate the issue of the signature of the presence of horizons and localized matter on the entanglement entropy (EE) SE for the case of three-dimensional AdS (AdS3) gravity. We use the holographically dual two-dimensional CFT on the torus and the related modular symmetry in order to treat bulk black holes and conical singularities (sourced by pointlike masses not shielded by horizons) on the same footing. In the regime where boundary tori can be approximated by cylinders we are able to give universal expressions for the EE of black holes and conical singularities. We argue that the presence of horizons/localized matter in the bulk is encoded in the EE in terms of (i) enhancement/reduction of the entanglement of the AdS3 vacuum, (ii) scaling as area/volume of the leading term of the perturbative expansion of SE, (iii) exponential/periodic behaviour of SE, (iv) presence of unaccessible regions in the noncompact/compact dimension of the boundary cylinder. In particular, we show that the reduction effect of matter on the entanglement of the vacuum found by Verlinde for the de Sitter vacuum extends to the AdS3 vacuum. CONTENTS

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Entanglement Entropy of AdS Black Holes

Cited by 38 publications

References 64 publications

Covariant holographic entanglement negativity for adjacent subsystems in AdS3/CFT2

Covariant holographic entanglement negativity for adjacent subsystems in AdS3/CFT2

Holographic entanglement negativity for adjacent subsystems in AdSd+1/CFTd

How is the presence of horizons and localized matter encoded in the entanglement entropy?

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