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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Main Author: Martin Sasieta
Format: Article
Language:English
Published: SpringerOpen 2023-03-01
Series:Journal of High Energy Physics
Subjects:
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.
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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