Island paradigm and information recovery from radiation

Abstract The island paradigm for an AdS2 eternal black hole in the Hartle-Hawking state coupled to a finite temperature non-gravitating bath asserts that after the Page time the operators in the black hole interior can be reconstructed using the bath degrees of freedom. We demonstrate this assertion...

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Main Authors: Krishna Jalan, Roji Pius, Manish Ramchander
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP07(2025)244
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author Krishna Jalan
Roji Pius
Manish Ramchander
author_facet Krishna Jalan
Roji Pius
Manish Ramchander
author_sort Krishna Jalan
collection DOAJ
description Abstract The island paradigm for an AdS2 eternal black hole in the Hartle-Hawking state coupled to a finite temperature non-gravitating bath asserts that after the Page time the operators in the black hole interior can be reconstructed using the bath degrees of freedom. We demonstrate this assertion by consideing a special operator U bath $$ {\mathbbm{U}}_{\textrm{bath}} $$ that has nontrivial action only on the bath degrees of freedom. We show via the gravitational Euclidean path integral analysis that though before the Page time U bath $$ {\mathbbm{U}}_{\textrm{bath}} $$ does not translate the operators in the bath to the black hole interior, after the Page time it takes them to the black hole interior.
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spelling doaj-art-c1abf4e7dc5d4fa88ac826d76d5c09d22025-08-20T03:04:16ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025712410.1007/JHEP07(2025)244Island paradigm and information recovery from radiationKrishna Jalan0Roji Pius1Manish Ramchander2The Institute of Mathematical SciencesThe Institute of Mathematical SciencesThe Institute of Mathematical SciencesAbstract The island paradigm for an AdS2 eternal black hole in the Hartle-Hawking state coupled to a finite temperature non-gravitating bath asserts that after the Page time the operators in the black hole interior can be reconstructed using the bath degrees of freedom. We demonstrate this assertion by consideing a special operator U bath $$ {\mathbbm{U}}_{\textrm{bath}} $$ that has nontrivial action only on the bath degrees of freedom. We show via the gravitational Euclidean path integral analysis that though before the Page time U bath $$ {\mathbbm{U}}_{\textrm{bath}} $$ does not translate the operators in the bath to the black hole interior, after the Page time it takes them to the black hole interior.https://doi.org/10.1007/JHEP07(2025)244AdS-CFT Correspondence2D Gravity
spellingShingle Krishna Jalan
Roji Pius
Manish Ramchander
Island paradigm and information recovery from radiation
Journal of High Energy Physics
AdS-CFT Correspondence
2D Gravity
title Island paradigm and information recovery from radiation
title_full Island paradigm and information recovery from radiation
title_fullStr Island paradigm and information recovery from radiation
title_full_unstemmed Island paradigm and information recovery from radiation
title_short Island paradigm and information recovery from radiation
title_sort island paradigm and information recovery from radiation
topic AdS-CFT Correspondence
2D Gravity
url https://doi.org/10.1007/JHEP07(2025)244
work_keys_str_mv AT krishnajalan islandparadigmandinformationrecoveryfromradiation
AT rojipius islandparadigmandinformationrecoveryfromradiation
AT manishramchander islandparadigmandinformationrecoveryfromradiation