Beyond the veil: Inner horizon instability and holography

Balasubramanian, Vijay; Levi, Thomas S.

doi:10.1103/physrevd.70.106005

Cited by 53 publications

(100 citation statements)

References 43 publications

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“…Special care is needed when ν is an integer. 13 This makes the large ν limit more subtle. Even at the leading order, one has to take into account of an infinite number of classical paths in the WKB approximation [37].…”

Section: Jhep04(2006)044mentioning

confidence: 99%

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

Festuccia¹,

Liu²

2006

J. High Energy Phys.

151

272

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We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.

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Section: Jhep04(2006)044mentioning

confidence: 99%

“…Going to momentum space (2.10) becomes (see the appendix for a definition of the Fourier transform) 13) where l denotes the angular momentum on S 3 . The Feynmann (retarded) propagator in the bulk leads to the Feynmann (retarded) Green function on the boundary by the same procedure.…”

Section: Jhep04(2006)044mentioning

confidence: 99%

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

Festuccia¹,

Liu²

2006

J. High Energy Phys.

151

272

View full text Add to dashboard Cite

show abstract

“…, N → P (N) as one circles the point of insertion of σ P [58]. For example, if we have σ (12,...,n) (z) at z = 0, we should impose the boundary condition on the fields x A (z), ψ A (z) as follows, 10) where '+' is for the NS sector and '−' is for the R sector. This permutation of CFTs can be conveniently realized by going to a covering space on which the fields of the CFT are single valued [64,66].…”

Section: A2 Orbifold Cftmentioning

confidence: 99%

“…In this way, it is possible to compute and compare quantities such as the entropy of the system and correlation functions of fields/operators [4][5][6][7][8][9][10][11][12]. Recent work [13][14][15][16][17][18][19][20][21] has shown that in some cases one can do even better by extending this relation to the regime where the bulk geometry receives large corrections from higher derivative string and loop effects.…”

Section: Introductionmentioning

confidence: 99%

Massless black holes and black rings as effective geometries of the D1–D5 system

Balasubramanian¹,

Kraus²,

Shigemori³

2005

Class. Quantum Grav.

Self Cite

221

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We compute correlation functions in the AdS 3 /CFT 2 correspondence to study the emergence of effective spacetime geometries describing complex underlying microstates. The basic argument is that almost all microstates of fixed charges lie close to certain 'typical' configurations. These give a universal response to generic probes, which is captured by an emergent geometry. The details of the microstates can only be observed by atypical probes. We compute two-point functions in typical ground states of the Ramond sector of the D1-D5 CFT, and compare with bulk two-point functions computed in asymptotically AdS 3 geometries. For large central charge (which leads to a good semiclassical limit), and sufficiently small time separation, a typical Ramond ground state of vanishing R-charge has the M = 0 BTZ black hole as its effective description. At large time separation this effective description breaks down. The CFT correlators we compute take over, and give a response whose details depend on the microstate. We also discuss typical states with nonzero R-charge, and argue that the effective geometry should be a singular black ring. Our results support the argument that a black hole geometry should be understood as an effective coarse-grained description that accurately describes the results of certain typical measurements, but breaks down in general.

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“…This is necessarily restricted to situations in which the bulk metric fluctuates modestly, whereas we propose a non-perturbative formulation. Yet another general approach is to try to enter the horizon by a variety of analytic continuations of external (Lorentzian or Euclidean) correlators [45,[56][57][58][59]. Our work has this aspect to it, but it is governed and understood from a physical perspective in which analytic continuation merely provides…”

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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Beyond the veil: Inner horizon instability and holography

Cited by 53 publications

References 43 publications

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

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

Massless black holes and black rings as effective geometries of the D1–D5 system

Holography of the BTZ black hole, inside and out

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