Causal evolutions of bulk local excitations from CFT

Goto, Kanato; Miyaji, Masamichi; Takayanagi, Tadashi

doi:10.1007/jhep09(2016)130

Cited by 28 publications

(32 citation statements)

References 32 publications

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“…The precise matching between scale and radial direction depends on coordinate choices. This is entirely consistent with the results of Takayanagi et al [12][13][14].…”

Section: The Ads Dual Interpretationsupporting

confidence: 93%

“…Thus, the cut-off ǫ responsible for taming the UV divergence in the amplitude can be reinterpreted as evolving the insertion of the operator in the field theory in imaginary time an amount ǫ. This regularisation procedure has been considered in [12][13][14] for single trace operators. If one is interested in understanding the physics of these states in terms of some semiclassical bulk description, it is natural to ask, for a given ǫ, what the most populated state is.…”

Section: Regularized Operatorsmentioning

confidence: 99%

“…There is an alternative way to regulate the problem that has been described in papers by Takayanagi et al [12][13][14]. One replaces the operator insertion O, by a regulated version that has been evolved in Euclidean time an amount ǫ…”

Section: Introductionmentioning

confidence: 99%

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Localized states in global AdS space

Berenstein

Simón

2020

Phys. Rev. D

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We construct both local states and scattering states with finite energy in global AdS by inserting properly regularized operators in the CFT of arbitrary conformal dimension (∆) at an instant of time. We give the state fixed angular momentum (ℓ) by integrating the result over a sphere with appropriate spherical harmonics. The energy of the states and their angular resolution is computed with CFT operator methods and is independent of having an AdS interpretation. In the semiclassical limit of large conformal dimension operators, these correspond to single particles localized within subAdS scales with width 1/ √ ∆ in AdS units, whose subsequent evolution is controlled by bulk geodesics. Our construction allows us to place a particle in any desired geodesic. For radial geodesics, we show that the amplitude to produce the desired state can be thought of as a regularized tunneling amplitude from the boundary to the radial turning point of the radial geodesic, while for other geodesics we argue that the insertion is at the outermost radial turning point of the corresponding geodesic.2

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“…The precise matching between scale and radial direction depends on coordinate choices. This is entirely consistent with the results of Takayanagi et al [12][13][14].…”

Section: The Ads Dual Interpretationsupporting

confidence: 93%

Section: Regularized Operatorsmentioning

confidence: 99%

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Localized states in global AdS space

Berenstein

Simón

2020

Phys. Rev. D

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“…36 35 There is also a divergence on the reflected lightcone T = ±(Z + Z ). 36 We have no knowledge of a similar exact calculation for the actual geodesic distance D(P, Q).…”

Section: Geodesic Distancementioning

confidence: 99%

“…One could imagine various such definitions of bulk frames. A popular one is to anchor a bulk point to the boundary by fixing the geodesic distance between said bulk point and several reference points on the boundary, see [30,31] in general and [32,33,34,35,36,37,38] for AdS 3 /CFT 2 in particular. In 2d we require two such points.…”

Section: Introductionmentioning

confidence: 99%

Clocks and rods in Jackiw-Teitelboim quantum gravity

Blommaert

Mertens

Verschelde

2019

J. High Energ. Phys.

131

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We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a boundaryintrinsic radar definition. This allows us to study and calculate exactly diff-invariant bulk correlation functions of matter-coupled JT gravity, which are found to satisfy microcausality. We observe that quantum gravity effects dominate near-horizon matter correlation functions. This shows that quantum matter in classical curved spacetime is not a sensible model for near-horizon matter-coupled JT gravity. This is how JT gravity, given our choice of bulk frame, evades an information paradox. This echoes into the quantum expectation value of the near-horizon metric, whose analysis is extended from the disk model to the recently proposed topological completion of JT gravity [1]. Due to quantum effects, at distances of order the Planck length to the horizon, a dramatic breakdown of Rindler geometry is observed.

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A CFT perspective on gravitational dressing and bulk locality

Lewkowycz

Turiaci

Verlinde

2017

J. High Energ. Phys.

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Abstract:We revisit the construction of local bulk operators in AdS/CFT with special focus on gravitational dressing and its consequences for bulk locality. Specializing to 2+1-dimensions, we investigate these issues via the proposed identification between bulk operators and cross-cap boundary states. We obtain explicit expressions for correlation functions of bulk fields with boundary stress tensor insertions, and find that they are free of non-local branch cuts but do have non-local poles. We recover the HKLL recipe for restoring bulk locality for interacting fields as the outcome of a natural CFT crossing condition. We show that, in a suitable gauge, the cross-cap states solve the bulk wave equation for general background geometries, and satisfy a conformal Ward identity analogous to a soft graviton theorem. Virasoro symmetry, the large N conformal bootstrap and the uniformization theorem all play a key role in our derivations.

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Causal evolutions of bulk local excitations from CFT

Cited by 28 publications

References 32 publications

Localized states in global AdS space

Localized states in global AdS space

Clocks and rods in Jackiw-Teitelboim quantum gravity

A CFT perspective on gravitational dressing and bulk locality

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