Decoding the hologram: Scalar fields interacting with gravity

Daniel Kabat; Gilad Lifschytz

doi:10.1103/PhysRevD.89.066010

Decoding the hologram: Scalar fields interacting with gravity

Daniel Kabat, Gilad Lifschytz

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

We construct smeared conformal field theory (CFT) operators which represent a scalar field in anti-de Sitter (AdS) space interacting with gravity. The guiding principle is microcausality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a correct and convenient criterion for constructing the appropriate CFT operators is to demand microcausality in a three-point function with a boundary Weyl tensor and another boundary scalar. The resulting bulk observables transform in the correct way under AdS isometries and commute with boundary scalar operators at spacelike separation, even in the presence of metric perturbations.

Original language	English
Article number	066010
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	89
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.89.066010
State	Published - 18 Mar 2014

ASJC Scopus subject areas

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

Access to Document

10.1103/PhysRevD.89.066010

Cite this

@article{770252fdef6d433495f5aab16f0bd0fd,

title = "Decoding the hologram: Scalar fields interacting with gravity",

abstract = "We construct smeared conformal field theory (CFT) operators which represent a scalar field in anti-de Sitter (AdS) space interacting with gravity. The guiding principle is microcausality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a correct and convenient criterion for constructing the appropriate CFT operators is to demand microcausality in a three-point function with a boundary Weyl tensor and another boundary scalar. The resulting bulk observables transform in the correct way under AdS isometries and commute with boundary scalar operators at spacelike separation, even in the presence of metric perturbations.",

author = "Daniel Kabat and Gilad Lifschytz",

year = "2014",

month = mar,

day = "18",

doi = "10.1103/PhysRevD.89.066010",

language = "English",

volume = "89",

journal = "Physical Review D - Particles, Fields, Gravitation and Cosmology",

issn = "1550-7998",

publisher = "American Physical Society",

number = "6",

}

TY - JOUR

T1 - Decoding the hologram

T2 - Scalar fields interacting with gravity

AU - Kabat, Daniel

AU - Lifschytz, Gilad

PY - 2014/3/18

Y1 - 2014/3/18

N2 - We construct smeared conformal field theory (CFT) operators which represent a scalar field in anti-de Sitter (AdS) space interacting with gravity. The guiding principle is microcausality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a correct and convenient criterion for constructing the appropriate CFT operators is to demand microcausality in a three-point function with a boundary Weyl tensor and another boundary scalar. The resulting bulk observables transform in the correct way under AdS isometries and commute with boundary scalar operators at spacelike separation, even in the presence of metric perturbations.

AB - We construct smeared conformal field theory (CFT) operators which represent a scalar field in anti-de Sitter (AdS) space interacting with gravity. The guiding principle is microcausality: scalar fields should commute with themselves at spacelike separation. To O(1/N) we show that a correct and convenient criterion for constructing the appropriate CFT operators is to demand microcausality in a three-point function with a boundary Weyl tensor and another boundary scalar. The resulting bulk observables transform in the correct way under AdS isometries and commute with boundary scalar operators at spacelike separation, even in the presence of metric perturbations.

UR - http://www.scopus.com/inward/record.url?scp=84896962273&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.89.066010

DO - 10.1103/PhysRevD.89.066010

M3 - Article

AN - SCOPUS:84896962273

SN - 1550-7998

VL - 89

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 6

M1 - 066010

ER -

Decoding the hologram: Scalar fields interacting with gravity

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this