Excursions beyond the horizon: black hole singularities in Yang-Mills theories (I)

Festuccia, Guido; Liu, Hong

doi:10.1088/1126-6708/2006/04/044

Cited by 151 publications

(285 citation statements)

References 39 publications

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“…39 As we discuss in the main text, when embedded in the full theory this causes an instability for scalars, but not for spinors. 40 We should caution, however, that many other aspects of this theory should be studied before one can really draw a conclusion.…”

Section: Spinorsmentioning

confidence: 99%

Emergent quantum criticality, Fermi surfaces, andAdS2

et al. 2011

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Gravity solutions dual to d-dimensional field theories at finite charge density have a near-horizon region which is AdS2 × R d−1 . The scale invariance of the AdS2 region implies that at low energies the dual field theory exhibits emergent quantum critical behavior controlled by a (0+1)-dimensional CFT. This interpretation sheds light on recently-discovered holographic descriptions of Fermi surfaces, allowing an analytic understanding of their low-energy excitations. For example, the scaling behavior near the Fermi surfaces is determined by conformal dimensions in the emergent IR CFT. In particular, when the operator is marginal in the IR CFT, the corresponding spectral function is precisely of the "Marginal Fermi Liquid" form, postulated to describe the optimally doped cuprates.

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Section: Spinorsmentioning

confidence: 99%

Emergent quantum criticality, Fermi surfaces, andAdS2

et al. 2011

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“…This does not have to do with the noncompactness of the spatial directions, even if we consider a black hole in global AdS we still find a continuous spectrum in ω -even though the boundary theory lives on a compact space S d−1 . The continuum in ω is a large N artifact and related to the approximately continuous spectrum of the dual large N gauge theory in the deconfined phase, see [52,55] for more details.…”

Section: Jhep10(2013)212mentioning

confidence: 99%

An infalling observer in AdS/CFT

Papadodimas

Raju

2013

J. High Energ. Phys.

346

593

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We describe the experience of an observer falling into a black hole using the AdS/CFT correspondence. In order to do this, we reconstruct the local bulk operators measured by the observer along his trajectory outside the black hole. We then extend our construction beyond the black hole horizon. We show that this is possible because of an effective doubling of the observables in the boundary theory, when it is in a pure state that is close to the thermal state. Our construction allows us to rephrase questions about information-loss and the structure of the metric at the horizon in terms of more familiar CFT correlators. It suggests that to precisely identify black-hole microstates, the observer would need to conduct measurements to an accuracy of e −S BH . This appears to be inconsistent with the "fuzzball" proposal, and other recent proposals in which pure states in the ensemble of the black hole are represented by macroscopically distinct geometries. Furthermore, our description of the black hole interior in terms of CFT operators provides a natural realization of black hole complementarity and a method of preserving unitarity without "firewalls."

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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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Excursions beyond the horizon: black hole singularities in Yang-Mills theories (I)

Cited by 151 publications

References 39 publications

Emergent quantum criticality, Fermi surfaces, andAdS2

Emergent quantum criticality, Fermi surfaces, andAdS2

An infalling observer in AdS/CFT

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

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