Rindler bulk reconstruction and subregion duality in AdS/CFT
Abstract In this paper, we study the AdS-Rindler reconstruction. The CFT operators naively given by the holographic dictionary for the AdS-Rindler reconstruction contain tachyonic modes, which are inconsistent with the causality and unitarity of the CFT. Therefore, the subregion duality and the enta...
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Format: | Article |
Language: | English |
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SpringerOpen
2022-11-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP11(2022)041 |
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author | Sotaro Sugishita Seiji Terashima |
author_facet | Sotaro Sugishita Seiji Terashima |
author_sort | Sotaro Sugishita |
collection | DOAJ |
description | Abstract In this paper, we study the AdS-Rindler reconstruction. The CFT operators naively given by the holographic dictionary for the AdS-Rindler reconstruction contain tachyonic modes, which are inconsistent with the causality and unitarity of the CFT. Therefore, the subregion duality and the entanglement wedge reconstruction do not hold. We also find that the tachyonic modes in the AdS-Rindler patch lead to arbitrary high-energy or trans-Planckian modes in the global AdS. It means that the mode expansion of the Rindler patch is sensitive to the UV limit of the theory, that is, quantum gravity. In addition, the tachyonic modes are related to the existence of null geodesics connecting the past and future horizons. |
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format | Article |
id | doaj.art-9b14b8835ac1401d997d2c6da6c531a1 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-09T23:13:16Z |
publishDate | 2022-11-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-9b14b8835ac1401d997d2c6da6c531a12023-03-22T10:14:59ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221112410.1007/JHEP11(2022)041Rindler bulk reconstruction and subregion duality in AdS/CFTSotaro Sugishita0Seiji Terashima1Institute for Advanced Research, Nagoya UniversityCenter for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto UniversityAbstract In this paper, we study the AdS-Rindler reconstruction. The CFT operators naively given by the holographic dictionary for the AdS-Rindler reconstruction contain tachyonic modes, which are inconsistent with the causality and unitarity of the CFT. Therefore, the subregion duality and the entanglement wedge reconstruction do not hold. We also find that the tachyonic modes in the AdS-Rindler patch lead to arbitrary high-energy or trans-Planckian modes in the global AdS. It means that the mode expansion of the Rindler patch is sensitive to the UV limit of the theory, that is, quantum gravity. In addition, the tachyonic modes are related to the existence of null geodesics connecting the past and future horizons.https://doi.org/10.1007/JHEP11(2022)041AdS-CFT Correspondence1/N ExpansionModels of Quantum Gravity |
spellingShingle | Sotaro Sugishita Seiji Terashima Rindler bulk reconstruction and subregion duality in AdS/CFT Journal of High Energy Physics AdS-CFT Correspondence 1/N Expansion Models of Quantum Gravity |
title | Rindler bulk reconstruction and subregion duality in AdS/CFT |
title_full | Rindler bulk reconstruction and subregion duality in AdS/CFT |
title_fullStr | Rindler bulk reconstruction and subregion duality in AdS/CFT |
title_full_unstemmed | Rindler bulk reconstruction and subregion duality in AdS/CFT |
title_short | Rindler bulk reconstruction and subregion duality in AdS/CFT |
title_sort | rindler bulk reconstruction and subregion duality in ads cft |
topic | AdS-CFT Correspondence 1/N Expansion Models of Quantum Gravity |
url | https://doi.org/10.1007/JHEP11(2022)041 |
work_keys_str_mv | AT sotarosugishita rindlerbulkreconstructionandsubregiondualityinadscft AT seijiterashima rindlerbulkreconstructionandsubregiondualityinadscft |