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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 |
Appears in Collections: | Journal Articles |
This item is licensed under a Creative Commons License