Holography and the Weyl Anomaly

Henningson, Måns; Skenderis, Kostas

doi:10.1002/(sici)1521-3978(20001)48:1/3<125::aid-prop125>3.0.co;2-b

Cited by 218 publications

(220 citation statements)

References 8 publications

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“…The most striking feature of this induced action is the term proportional toR log |R|. The appearance of this logarithm is related to the conformal anomaly [66][67][68], and points towards the fact that the corresponding gravitational action in nonlocal, 9 as we discuss next. Further, since the Einstein-Hilbert term is topological in two dimensions, it turns out that this unusual action is precisely what is needed to match the dynamics of the bulk gravity described above, i.e., the position of the brane in eq.…”

Section: Jhep10(2020)166mentioning

confidence: 80%

Quantum extremal islands made easy. Part I. Entanglement on the brane

Chen

Myers

Neuenfeld

et al. 2020

J. High Energ. Phys.

212

393

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Recent progress in our understanding of the black hole information paradox has lead to a new prescription for calculating entanglement entropies, which involves special subsystems in regions where gravity is dynamical, called quantum extremal islands. We present a simple holographic framework where the emergence of quantum extremal islands can be understood in terms of the standard Ryu-Takayanagi prescription, used for calculating entanglement entropies in the boundary theory. Our setup describes a d-dimensional boundary CFT coupled to a (d−1)-dimensional defect, which are dual to global AdSd+1 containing a codimension-one brane. Through the Randall-Sundrum mechanism, graviton modes become localized at the brane, and in a certain parameter regime, an effective description of the brane is given by Einstein gravity on an AdSd background coupled to two copies of the boundary CFT. Within this effective description, the standard RT formula implies the existence of quantum extremal islands in the gravitating region, whenever the RT surface crosses the brane. This indicates that islands are a universal feature of effective theories of gravity and need not be tied to the presence of black holes.

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Section: Jhep10(2020)166mentioning

confidence: 80%

Quantum extremal islands made easy. Part I. Entanglement on the brane

Chen

Myers

Neuenfeld

et al. 2020

J. High Energ. Phys.

212

393

View full text Add to dashboard Cite

show abstract

“…where n is outwards unit vector normal to the boundary. To compute the free energy in the case of black holes in AdS 4 , we could alternatively add the usual holographic counterterms in the AdS 4 boundary [53,54]. A detailed analysis of all possible saddles was done in [55].…”

Section: Jhep05(2021)145mentioning

confidence: 99%

The statistical mechanics of near-extremal black holes

Iliesiu

Turiaci

2021

J. High Energ. Phys.

100

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An important open question in black hole thermodynamics is about the existence of a “mass gap” between an extremal black hole and the lightest near-extremal state within a sector of fixed charge. In this paper, we reliably compute the partition function of Reissner-Nordström near-extremal black holes at temperature scales comparable to the conjectured gap. We find that the density of states at fixed charge does not exhibit a gap; rather, at the expected gap energy scale, we see a continuum of states. We compute the partition function in the canonical and grand canonical ensembles, keeping track of all the fields appearing through a dimensional reduction on S2 in the near-horizon region. Our calculation shows that the relevant degrees of freedom at low temperatures are those of 2d Jackiw-Teitelboim gravity coupled to the electromagnetic U(1) gauge field and to an SO(3) gauge field generated by the dimensional reduction.

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“…-52 - The g (2) term in the Fefferman-Graham expansion is a useful consistency check as it must take the form [4,49] g (2)ab = −R (0)ab + 1 4…”

Section: Accepted Manuscriptmentioning

confidence: 99%

(A)dS ₄ in Bondi gauge

Poole

Skenderis

Taylor

2019

Class. Quantum Grav.

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We obtain the general asymptotic solutions of Einstein gravity with or without cosmological constant in Bondi gauge. The Bondi gauge was originally introduced in the context of gravitational radiation in asymptotically flat gravity. In the original work, initial conditions were prescribed at a null hypersurface and the Einstein equations were shown to take a nested form, which may be used to explicitly integrate them asymptotically. We streamline the derivation of the general asymptotic solution in the asymptotically flat case, and derive the most general asymptotic solutions for the case of non-zero cosmological constant of either sign (asymptotically locally AdS and dS solutions). With non-zero cosmological constant, we present integration schemes which rely on either prescribing data on the conformal boundary or on a null hypersurface and part of the conformal boundary. We explicitly work out the transformation to Fefferman-Graham gauge and identity how to extract the holographic data directly in Bondi coordinates. We illustrate the discussion with a number of examples and show that for asymptotically AdS 4 spacetimes the Bondi mass is constant.

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Holography and the Weyl Anomaly

Cited by 218 publications

References 8 publications

Quantum extremal islands made easy. Part I. Entanglement on the brane

Quantum extremal islands made easy. Part I. Entanglement on the brane

The statistical mechanics of near-extremal black holes

(A)dS ₄ in Bondi gauge

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Holography and the Weyl Anomaly

Cited by 218 publications

References 8 publications

Quantum extremal islands made easy. Part I. Entanglement on the brane

Quantum extremal islands made easy. Part I. Entanglement on the brane

The statistical mechanics of near-extremal black holes

(A)dS 4 in Bondi gauge

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(A)dS ₄ in Bondi gauge