The Black Hole Singularity in AdS/CFT

Fidkowski, Lukasz; Hubeny, Veronika E.; Kleban, Matthew; Shenker, Stephen H.

doi:10.1088/1126-6708/2004/02/014

Cited by 327 publications

(649 citation statements)

References 56 publications

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“…Our arguments closely follow those of [38,39], where first steps towards generalizing smearing functions to spaces other than pure AdS were made. It is important to note that the failure to construct a smearing function, which would connect local bulk data to local boundary data, does not necessarily prevent reconstruction of the bulk metric from nonlocal boundary data, such as JHEP01(2014)062 the 2-point boundary correlators considered in [40][41][42][43][44][45][46]. In this paper we will nonetheless concentrate on the failure of the local-to-local map embodied by the smearing function.…”

Section: Jhep01(2014)062mentioning

confidence: 99%

What do non-relativistic CFTs tell us about Lifshitz spacetimes?

Keeler

Knodel

Liu

2014

J. High Energ. Phys.

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Abstract:We study the reconstructability of (d + 2)-dimensional bulk spacetime from (d+1)-dimensional boundary data, particularly concentrating on backgrounds which break (d+1)-dimensional Lorentz invariance. For a large class of such spacetimes, there exist null geodesics which do not reach the boundary. Therefore classically one might guess some information is trapped in the bulk and thus invisible at the boundary. We show that this classical intuition correctly predicts the quantum situation: whenever there are null geodesics which do not reach the boundary, there are also "trapped scalar modes" whose boundary imprint is exponentially suppressed. We use these modes to show that no smearing function exists for pure Lifshitz spacetime, nor for any flow which includes a Lifshitz region. Indeed, for any (planar) spacetime which breaks (d + 1)-dimensional Lorentz invariance at any radius, we show that local boundary data cannot reconstruct complete local bulk data.

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Section: Jhep01(2014)062mentioning

confidence: 99%

What do non-relativistic CFTs tell us about Lifshitz spacetimes?

Keeler

Knodel

Liu

2014

J. High Energ. Phys.

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“…However, if we start in one region and attempt to move into another while maintaining the embedding equations (2.8, 2.9), the different regions appear as different sections of a complexified BTZ coordinate plane each having a real metric. This perspective has been used in BTZ and other backgrounds [5,6,7,8,10]. Examining the relation between BTZ and Kruskal coordinates for the black hole provides further insight into how this works.…”

Section: Is a Penrose Diagrammentioning

confidence: 99%

“…Near the inner horizon the wavepacket is 8) where the rightmoving piece is 9) and the leftmoving piece is…”

Section: The Cauchy Horizonmentioning

confidence: 99%

“…We are less comfortable with the complexified coordinate plane, but there is increasing evidence that structures in complex time and space contain important information about physics in time dependent backgrounds. In [5,6,7,8,9] various signatures of physics behind a black hole horizon were associated with the analytic structure of physical quantities in complexified time. In [10] degenerations of the metric of an AdS orbifold in the complex plane of a spatial coordinate were found, surprisingly, to control unitarity and quantization conditions in the real spacetime.…”

Section: Introductionmentioning

confidence: 99%

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Beyond the veil: Inner horizon instability and holography

Balasubramanian

Levi

2004

Phys. Rev. D

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We show that scalar perturbations of the eternal, rotating BTZ black hole should lead to an instability of the inner (Cauchy) horizon, preserving strong cosmic censorship. Because of backscattering from the geometry, plane wave modes have a divergent stress tensor at the event horizon, but suitable wavepackets avoid this difficulty, and are dominated at late times by quasinormal behavior. The wavepackets have cuts in the complexified coordinate plane that are controlled by requirements of continuity, single-valuedness and positive energy. Due to a focusing effect, regular wavepackets nevertheless have a divergent stress-energy at the inner horizon, signaling an instability. This instability, which is localized behind the event horizon, is detected holographically as a breakdown in the semiclassical computation of dual CFT expectation values in which the analytic behavior of wavepackets in the complexified coordinate plane plays an integral role. In the dual field theory, this is interpreted as an encoding of physics behind the horizon in the entanglement between otherwise independent CFTs. * Electronic address: vijay@endive.hep.upenn.edu † Electronic address: tslevi@student.physics.upenn.edu 1 Contents

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“…The most direct approach has been to study the thermofield CFT formulation carefully, and to identify those subtle, non-local features that might encode key aspects of the black hole interior [19,[49][50][51] (see [52] for higher-dimensional discussion). Our work is certainly in the same spirit, but we claim our non-local CFT operators more sharply and more knowably probe the interior.…”

Section: Relation To the Literaturementioning

confidence: 99%

Holography of the BTZ black hole, inside and out

Fuente

Sundrum

2014

J. High Energ. Phys.

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We propose a 1 + 1 dimensional CFT dual structure for quantum gravity and matter on the extended 2 + 1 dimensional BTZ black hole, realized as a quotient of the Poincaré patch of AdS 3 . The quotient spacetime includes regions beyond the singularity, "whiskers", containing timelike and lightlike closed curves, which at first sight seem unphysical. The spacetime includes the usual AdS-asymptotic boundaries outside the horizons as well as boundary components inside the whiskers. We show that local boundary correlators with some endpoints in the whisker regions: (i) are a protected class of amplitudes, dominated by effective field theory even when the associated Witten diagrams appear to traverse the singularity, (ii) describe well-defined diffeomorphism-invariant quantum gravity amplitudes in BTZ, (iii) sharply probe some of the physics inside the horizon but outside the singularity, and (iv) are equivalent to correlators of specific non-local CFT operators in the standard thermofield entangled state of two CFTs. In this sense, the whisker regions can be considered as purely auxiliary spacetimes in which these useful non-local CFT correlators can be rendered as local boundary correlators, and their diagnostic value more readily understood. Our results follow by first performing a novel reanalysis of the Rindler view of standard AdS/CFT duality on the Poincaré patch of AdS, followed by exploiting the simple quotient structure of BTZ which turns the Rindler horizon into the BTZ black hole horizon. While most of our checks are within gravitational effective field theory, we arrive at a fully non-perturbative CFT proposal to probe the UV-sensitive approach to the singularity.

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The Black Hole Singularity in AdS/CFT

Cited by 327 publications

References 56 publications

What do non-relativistic CFTs tell us about Lifshitz spacetimes?

What do non-relativistic CFTs tell us about Lifshitz spacetimes?

Beyond the veil: Inner horizon instability and holography

Holography of the BTZ black hole, inside and out

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