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Bulk-cone singularities & signatures of horizon formation in AdS/CFT

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Veronika E Hubeny, Hong Liu, Mukund Rangamani

High Energy Physics - Theory · Submitted 3 Oct 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We apply this correspondence to the specific case of shell collapse in AdS/CFT and indicate a sharp feature in the boundary observables corresponding to black hole event horizon formation.

how it is stated · hedged possibility 0.86 read the record →

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arXiv IDhep-th/0610041 (version 2)
Pith ID7LMFEVSV, Pith's permanent record of this paper and its review
CitationHong Liu, Mukund Rangamani, Veronika E Hubeny. "Bulk-cone singularities & signatures of horizon formation in AdS/CFT." arXiv:hep-th/0610041 (2006). https://pith.science/paper/7LMFEVSV
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,279 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.07 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We discuss the relation between singularities of correlation functions and causal properties of the bulk spacetime in the context of the AdS/CFT correspondence. In particular, we argue that the boundary field theory correlation functions are singular when the insertion points are connected causally by a bulk null geodesic. This implies the existence of "bulk-cone singularities" in boundary theory correlation functions which lie inside the boundary light-cone. We exhibit the pattern of singularities in various asymptotically AdS spacetimes and argue that this pattern can be used to probe the bulk geometry. We apply this correspondence to the specific case of shell collapse in AdS/CFT and indicate a sharp feature in the boundary observables corresponding to black hole event horizon formation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We discuss the relation between singularities of correlation functions and causal properties of the bulk spacetime in the context of the AdS/CFT correspondence. background 0.70 0.67 0.08 unclear 0.54
s1 In particular, we argue that the boundary field theory correlation functions are singular when the insertion points are connected causally by a bulk null geodesic. result 0.68 0.67 0.42 asserted 0.71
s2 This implies the existence of "bulk-cone singularities" in boundary theory correlation functions which lie inside the boundary light-cone. interpretation 0.92 0.49 0.18 asserted 0.97
s3 We exhibit the pattern of singularities in various asymptotically AdS spacetimes and argue that this pattern can be used to probe the bulk geometry. contribution 0.59 0.86 0.17 asserted 0.56
s4 We apply this correspondence to the specific case of shell collapse in AdS/CFT and indicate a sharp feature in the boundary observables corresponding to black hole event horizon formation. result 0.82 0.90 0.43 hedged possibility 0.86

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from argument 0.78.

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  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We discuss the relation between singularities of correlation functions and causal properties of the bulk spacetime in the context of the AdS/CFT correspondence. In particular, we argue that the boundary field theory correlation functions are singular when the insertion points are connected causally by a bulk null geodesic. This implies the existence of "bulk-cone singularities" in boundary theory correlation functions which lie inside the boundary light-cone. We exhibit the pattern of singularities in various asymptotically AdS spacetimes and argue that this pattern can be used to probe the bulk geometry. We apply this correspondence to the specific case of shell collapse in AdS/CFT and indicate a sharp feature in the boundary observables corresponding to black hole event horizon formation.

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References
How the literature uses it

55 arXiv papers cite this in 103 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 64 sentences without a confident label

Builds on it 1 paper
Compares with it 4 papers
  • The analytic formula derived for the the asymptotic value of quasinormal frequencies ([ref]), agrees with the expressions found in [ref] using a WKB analysis, and with expressions derived for fields with large mass [ref] and for fields with small mass in AdS$_2+1$ $ω_n ≃4πi T n$ [ref] , the numerical results in AdS$_3+1$ $ω_n ≃(√(3)±3 i ) πT n = 3/4(√(3)±3 i ) n r_H$ [ref] and AdS$_4+1$ $ω_n≃2πi T n(1±i)$ [ref] .

    AdS black holes as reflecting cavities · Discussion · 0.99

  • In [ref] , the authors study the light cone singularities in position space of the retarded coorrelator and identify null geodesics which are responsible for this divergence.

    Light-like retarded correlators and the horizon · Introduction · 0.97

  • This is similar to the behaviour seen for stars in AdS [ref] and also for charged solutions in 5 [ref] .

    A soliton menagerie in AdS · Solitons in the Abelian-Higgs theory · 1.00

Cites it as support 2 papers
  • Nevertheless, this limitation can be overcome, as demonstrated by [ref] , where the authors consider a manifestly time-dependent spacetime describing gravitational collapse and argue that the horizon formation event can be detected in the boundary theory by examining the structure of singularities of generic Lorentzian correlators.

    A holographic view on physics out of equilibrium · Extracting bulk metric from CFT correlators · 0.96

  • At the end of day the small black hole has completely evaporated and its energy is instead contained in a spherically symmetric 'star' made of self-gravitating radiation [ref] .

    Thermodynamics of Large AdS Black Holes · AdS–Schwarzschild black holes · 0.96

Cites it as background 25 papers
  • See [ref] for AdS-Schwarzschild black hole, where the null geodesic goes around the photon sphere.

    AdS gravastar and its signatures from dual conformal field theory · Introduction · 0.80

  • The null geodesics in these geometries have been studied in [ref] but here we are interested into the spacelike ones, which occur in the computation of the holographic entanglement entropy [ref] .

    Holographic evolution of the mutual information · Introduction · 0.88

  • Perturbative Lorentzian correlation functions of local operators in QFT develop singularities when operators can communicate by exchanging light-like signals [ref] .[While these papers concern QFT in Minkowski space, the same statement is expected to be true in curved space as well, see e.g. [ref] .] A striking feature of holographic theories is that communication can proceed via an emergent bulk and in this way new singularities develop [ref] , through which the bulk geometry can be reconstructed [ref] .

    Black hole bulk-cone singularities · Introduction · 0.84

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