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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 |
This item is licensed under a Creative Commons License