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タイトル: | Flow equation, conformal symmetry, and anti-de Sitter geometry |
著者: | Aoki, Sinya Yokoyama, Shuichi |
著者名の別形: | 青木, 愼也 |
キーワード: | B21 AdS/CFT correspondence |
発行日: | Mar-2018 |
出版者: | Oxford University Press (OUP) |
誌名: | Progress of Theoretical and Experimental Physics |
巻: | 2018 |
号: | 3 |
論文番号: | 031B01 |
抄録: | We argue that the anti-de Sitter (AdS) geometry in d+1 dimensions naturally emerges from an arbitrary conformal field theory in d dimensions using the free flow equation. We first show that an induced metric defined from the flowed field generally corresponds to the quantum information metric, called the Bures or Helstrom metric, if the flowed field is normalized appropriately. We next verify that the induced metric computed explicitly with the free flow equation always becomes the AdS metric when the theory is conformal. We finally prove that the conformal symmetry in d dimensions converts to the AdS isometry in d+1 dimensions after d-dimensional quantum averaging. This guarantees the emergence of AdS geometry without explicit calculation. |
著作権等: | © The Author(s) 2018. 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 (http://creativecommons.org/licenses/by/4.0/), 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/2433/250308 |
DOI(出版社版): | 10.1093/ptep/pty013 |
出現コレクション: | 学術雑誌掲載論文等 |
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