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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Main Authors: Sotaro Sugishita, Seiji Terashima
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of High Energy Physics
Subjects:
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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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
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AT seijiterashima rindlerbulkreconstructionandsubregiondualityinadscft