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Title: HKLL bulk reconstruction for small ∆
Authors: Aoki, Sinya
Balog, János
Author's alias: 青木, 愼也
Keywords: AdS-CFT Correspondence
Conformal Field Theory
Field Theories in Higher Dimensions
Issue Date: Feb-2022
Publisher: Springer Nature
Journal title: Journal of High Energy Physics
Volume: 2022
Issue: 2
Thesis number: 15
Abstract: We discuss the extension of the HKLL (Hamilton, Kabat, Lifschytz, and Lowe) bulk reconstruction for non-interacting scalar fields corresponding to conformal weights ∆ smaller than the original condition ∆ > d − 1. We give explicit formulas for the cases d − 2 < ∆ ≤ d − 1 and ∆ = d − s with integer s. In the latter case we show that smearing CFT fields over a region of the boundary consisting of points light-like separated from the bulk point is sufficient for bulk reconstruction, whereas in general smearing over all light-like and space-like separated points is required.
Rights: © The Authors.
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
URI: http://hdl.handle.net/2433/281678
DOI(Published Version): 10.1007/jhep02(2022)015
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