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Title: Special flow equation and the GKP–Witten relation
Authors: Aoki, Sinya
Balog, Janos
Onogi, Tetsuya
Yokoyama, Shuichi
Author's alias: 青木, 愼也
横山, 修一
Keywords: B21 AdS/CFT correspondence
Issue Date: Jan-2023
Publisher: Oxford University Press (OUP)
The Physical Society of Japan
Journal title: Progress of Theoretical and Experimental Physics
Volume: 2023
Issue: 1
Thesis number: 013B03
Abstract: We develop a framework for the reconstruction of the bulk theory dual to conformal field theory without any assumption by means of a flow equation. To this end we investigate a minimal extension of the free-flow equation and find that at a special parametrization the conformal transformation for a normalized smeared operator exactly becomes the isometry of anti-de Sitter space (AdS). By employing this special flow equation for O(N) vector models, we explicitly show that the AdS geometry as well as the scalar field satisfying the GKP–Witten relation concurrently emerge in this framework.
Rights: © The Author(s) 2023. Published by Oxford University Press on behalf of the Physical Society of Japan.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. Funded by SCOAP3.
URI: http://hdl.handle.net/2433/281681
DOI(Published Version): 10.1093/ptep/ptad002
Appears in Collections:Journal Articles

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