Wormholes from heavy operator statistics in AdS/CFT
Abstract We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles....
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Format: | Article |
Language: | English |
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SpringerOpen
2023-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP03(2023)158 |
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author | Martin Sasieta |
author_facet | Martin Sasieta |
author_sort | Martin Sasieta |
collection | DOAJ |
description | Abstract We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles. Assuming dynamical chaos in the form of the ETH ansatz, we demonstrate that the semiclassical path integral provides an effective statistical description of the microscopic features of the thin shell operator in the CFT. The Euclidean wormhole solutions provide microcanonical saddlepoint contributions to the cumulants of the correlation functions over the ensemble of operators. We finally elaborate on the role of these wormholes in the context of non-perturbative violations of bulk global symmetries in AdS/CFT. |
first_indexed | 2024-03-13T03:25:45Z |
format | Article |
id | doaj.art-e9f286335b964e84b7ddafd7a42f1ff0 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-13T03:25:45Z |
publishDate | 2023-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-e9f286335b964e84b7ddafd7a42f1ff02023-06-25T11:06:38ZengSpringerOpenJournal of High Energy Physics1029-84792023-03-012023313410.1007/JHEP03(2023)158Wormholes from heavy operator statistics in AdS/CFTMartin Sasieta0Martin Fisher School of Physics, Brandeis UniversityAbstract We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles. Assuming dynamical chaos in the form of the ETH ansatz, we demonstrate that the semiclassical path integral provides an effective statistical description of the microscopic features of the thin shell operator in the CFT. The Euclidean wormhole solutions provide microcanonical saddlepoint contributions to the cumulants of the correlation functions over the ensemble of operators. We finally elaborate on the role of these wormholes in the context of non-perturbative violations of bulk global symmetries in AdS/CFT.https://doi.org/10.1007/JHEP03(2023)158AdS-CFT CorrespondenceBlack HolesBlack Holes in String TheoryGauge-Gravity Correspondence |
spellingShingle | Martin Sasieta Wormholes from heavy operator statistics in AdS/CFT Journal of High Energy Physics AdS-CFT Correspondence Black Holes Black Holes in String Theory Gauge-Gravity Correspondence |
title | Wormholes from heavy operator statistics in AdS/CFT |
title_full | Wormholes from heavy operator statistics in AdS/CFT |
title_fullStr | Wormholes from heavy operator statistics in AdS/CFT |
title_full_unstemmed | Wormholes from heavy operator statistics in AdS/CFT |
title_short | Wormholes from heavy operator statistics in AdS/CFT |
title_sort | wormholes from heavy operator statistics in ads cft |
topic | AdS-CFT Correspondence Black Holes Black Holes in String Theory Gauge-Gravity Correspondence |
url | https://doi.org/10.1007/JHEP03(2023)158 |
work_keys_str_mv | AT martinsasieta wormholesfromheavyoperatorstatisticsinadscft |