Inside the horizon with AdS/CFT

By Per Kraus, Hirosi Ooguri, S. Shenker. 2002

264 citations recorded by the source corpus.

Using the eternal BTZ black hole as a concrete example, we show how spacelike singularities and horizons can be described in terms of AdS/CFT amplitudes. Our approach is based on analytically continuing amplitudes defined in a Euclidean signature. This procedure yields finite Lorentzian amplitudes. The naive divergences associated with the Milne type singularity of BTZ black holes are regulated by an iepsilon prescription inherent in the analytic continuation and a cancellation between future and past singularities. The boundary description corresponds to a tensor product of two CFTs in an entangled state, as in previous work. We give two bulk descriptions corresponding to two different analytic continuations. In the first, only regions outside the horizon appear explicitly, and so amplitudes are manifestly finite. In the second, regions behind the horizon and on both sides of the singularity appear, thus yielding finite amplitudes for virtual particles propagating through the black hole singularity. This equivalence between descriptions only outside and both inside and outside the horizon is reminiscent of the ideas of black hole complementarity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/19b4d61577bcf1a1c44e71f23e58250779503f72

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Complexity and Shock Wave Geometries (2014, methodology): “The decay of local correlation between the left and right CFTs may also be used [3][4][5].”
Real-time gauge/gravity duality: prescription, renormalization and examples (2008, background): “There have been several earlier works discussing holography in Lorentzian signature, including [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”
Gauge gravity duality for d-wave superconductors: prospects and challenges (2010, methodology): “Alternately, one might try to use analytic techniques, perhaps similar to the ones used in appendix C or in [50] to construct these solutions.”
Multiple shocks (2013, background): “In the bulk it is related to geodesics and hence probes the geometry [14, 15, 16, 17, 18, 19].”
Comments on Cosmological Singularities in String Theory (2002, background): “also briefly discuss the case of the non-rotating BTZ black hole; for a more comprehensive recent discussion see [ 34 ].”
Black holes and the butterfly effect (2013, background): “This fact has been previously exploited for the purposes of studying black hole interiors [38, 39, 40, 41, 42, 43].”
Extremal surfaces as bulk probes in AdS/CFT (2012, methodology): “This was used to identify the CFT signature of the black hole singularity [14, 15], building on prior work of [16, 17, 18], by considering the insertion points x and y on two disconnected boundaries corresponding to the two asymptotic regions of an eternal black hole.”
Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I. (2005, unknown): “A number of authors [7-17] have explored how to extract physics beyond the horizon from the boundary theory correlation functions(5).”
Near extremal black hole entropy as entanglement entropy via AdS 2 / CFT 1 (2007, methodology): “Essentially, the CFT1 i.e. the conformal quantum mechanics is described by the right-moving sector of the original CFT2 by treating the left-moving one as an internal degree of freedom tensored with the right-moving sector.”
The library of Babel: on the origin of gravitational thermodynamics (2005, background): “28 It seems to us that recent attempts to “see behind a horizon” using AdS/CFT [ 54 ] will also not”
The tachyon at the end of the universe (2005, background): “It would be interesting to relate our analysis to other approaches based on nonperturbative formulations of the theory [28-30].”
Black holes in three dimensional higher spin gravity: a review (2012, background): “Two examples are the nature of entanglement of degrees of freedom inside and outside the horizon [11] and whether it is possible to access the region behind the black hole horizon by correlation functions of operators localized on the boundary [12,13].”
Local bulk operators in AdS/CFT correspondence : A boundary view of horizons and locality (2005, background): “Non-local operators in the CFT should provide a new tool to study bulk phenomena such as black hole singularities [23, 24], the interplay of holography and locality [25], or even non-local deformations of AdS [26].”
A Holographic View on Physics out of Equilibrium (2010, background): “The initial clue on how the field theoretic observables transcend the classical barrier of the event horizon to encode information of behind-the-horizon physics(48) emerged from the progress made in identifying the CFT signature of the black hole singularity [191, 192], which built on the prior work”
Holographic Duality with a View Toward Many-Body Physics (2009, background): “This relation between correlators of large ∆ observables and geodesics in the bulk theory offers a probe of the bulk spacetime [50, 51].”
AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM (2003, background): “Studies of such a spectrum may prove to be useful in the effective description of black objects using the language of a dual real-time thermal field theory [37] (or quantum mechanics [38]).”
Inflation in AdS/CFT (2005, methodology): “In this case one can write down explicit formulas for boundary correlators that continue from AdS/CFT to dS/CFT.”