On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles

Fitzpatrick, A. Liam; Kaplan, Jared

doi:10.1007/jhep04(2017)072

Cited by 57 publications

(96 citation statements)

References 106 publications

(315 reference statements)

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“…Many aspects of black hole thermodynamics are encoded in the Virasoro algebra at large central charge [49][50][51][52][53], including various non-perturbative effects that resolve or ameliorate information loss problems [54][55][56]. This means that it should be possible to learn about bulk physics in the presence of black holes using Virasoro technology.…”

Section: Jhep02(2018)012mentioning

confidence: 99%

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An exact operator that knows its location

Anand

Chen

Fitzpatrick

et al. 2018

J. High Energ. Phys.

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121

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We use conformal symmetry to define an AdS 3 proto-field φ as an exact linear combination of Virasoro descendants of a CFT 2 primary operator O. We find that both symmetry considerations and a gravitational Wilson line formalism lead to the same results. The operator φ has many desirable properties; in particular it has correlators that agree with gravitational perturbation theory when expanded at large c, and that automatically take the correct form in all vacuum AdS 3 geometries, including BTZ black hole backgrounds. In the future it should be possible to use φ to probe bulk locality and black hole horizons at a non-perturbative level.

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Section: Jhep02(2018)012mentioning

confidence: 99%

“…(D. 55) so in the following we only need to consider the remaining contribution of the second term, which comes from k = m 2 and k = m 1 + m 2 , c corrections should form quasi-primaries and their global descendants, such that φO will always be given by φO = φ global O , which is just the bulk-boundary propagator in vacuum.…”

Section: +O(c −3 ) (D49)mentioning

confidence: 99%

An exact operator that knows its location

Anand

Chen

Fitzpatrick

et al. 2018

J. High Energ. Phys.

Self Cite

121

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“…In some cases, like the ones considered in [22], even just the R-current is sufficient to completely constrain the form of the correlator, and prevent the vanishing at late times. A mechanism based on the R-current, even if it applies uniformly on the moduli space, can reasonably be argued to be non-generic [27]. The correlator we consider in this paper, where the light operators are the non-chiral primaries in (2.5), is not constrained by the R-symmetry.…”

Section: Introductionmentioning

confidence: 95%

Unitary 4-point correlators from classical geometries

et al. 2018

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We compute correlators of two heavy and two light operators in the strong coupling and large c limit of the D1D5 CFT which is dual to weakly coupled AdS 3 gravity. The light operators have dimension two and are scalar descendants of the chiral primaries considered in arXiv:1705.09250, while the heavy operators belong to an ensemble of Ramond-Ramond ground states. We derive a general expression for these correlators when the heavy states in the ensemble are close to the maximally spinning ground state. For a particular family of heavy states we also provide a result valid for any value of the spin. In all cases we find that the correlators depend non-trivially on the CFT moduli and are not determined by the symmetries of the theory; however, they have the properties expected for correlators among pure states in a unitary theory, in particular they do not decay at large Lorentzian times.

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“…This arises from the heavy-light large central charge approximation [5][6][7] of the Virasoro blocks. Thus it seems to be very universal, as it is largely independent of CFT data.…”

Section: Jhep09(2017)102mentioning

confidence: 99%

“…To be specific, the Virasoro conformal blocks have a semiclassical large central charge limit that precisely accords with expectations from AdS 3 gravity, reproducing the physics of light objects probing BTZ black holes. In the semiclassical approximation, the Virasoro blocks exhibit information loss in the form of 'forbidden singularities' and exponential decay at late times [1][2][3][4][5][6]. Moreover, these problems can be partially addressed by performing explicit analytic calculations [7].…”

Section: Introductionmentioning

confidence: 99%

A numerical approach to Virasoro blocks and the information paradox

Chen

Hussong

Kaplan

et al. 2017

J. High Energ. Phys.

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113

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Abstract:We chart the breakdown of semiclassical gravity by analyzing the Virasoro conformal blocks to high numerical precision, focusing on the heavy-light limit corresponding to a light probe propagating in a BTZ black hole background. In the Lorentzian regime, we find empirically that the initial exponential time-dependence of the blocks transitions to a universal t − 3 2 power-law decay. For the vacuum block the transition occurs at t ≈ πc 6h L , confirming analytic predictions. In the Euclidean regime, due to Stokes phenomena the naive semiclassical approximation fails completely in a finite region enclosing the 'forbidden singularities'. We emphasize that limitations on the reconstruction of a local bulk should ultimately stem from distinctions between semiclassical and exact correlators.

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On the late-time behavior of Virasoro blocks and a classification of semiclassical saddles

Cited by 57 publications

References 106 publications

An exact operator that knows its location

An exact operator that knows its location

Unitary 4-point correlators from classical geometries

A numerical approach to Virasoro blocks and the information paradox

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