Towards quantum black hole microstates

Abstract We study the cohomology of local BPS operators in N $$ \mathcal{N} $$ = 4 Yang-Mills theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion principle) and the rest which may describe black hole microstates in quantum AdS/CFT. We construct an infinit...

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Main Authors: Sunjin Choi, Seok Kim, Eunwoo Lee, Siyul Lee, Jaemo Park
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2023)175
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author Sunjin Choi
Seok Kim
Eunwoo Lee
Siyul Lee
Jaemo Park
author_facet Sunjin Choi
Seok Kim
Eunwoo Lee
Siyul Lee
Jaemo Park
author_sort Sunjin Choi
collection DOAJ
description Abstract We study the cohomology of local BPS operators in N $$ \mathcal{N} $$ = 4 Yang-Mills theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion principle) and the rest which may describe black hole microstates in quantum AdS/CFT. We construct an infinite tower of non-graviton cohomologies in the SU(2) theory and study to what extent they simulate quantum black holes. We find signals for partial no-hair behaviors by showing that certain gravitons are forbidden to dress these cohomologies. This is in qualitative agreement with the perturbative hairs allowed around black holes, which also leads us to a natural setup to construct hairy BPS black holes. The cohomologies are simpler to study in the BMN matrix model truncation of the classical field theory.
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issn 1029-8479
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series Journal of High Energy Physics
spelling doaj-art-5339e577354442e1bf9af5cfeeca9c2c2025-08-20T02:56:20ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231115510.1007/JHEP11(2023)175Towards quantum black hole microstatesSunjin Choi0Seok Kim1Eunwoo Lee2Siyul Lee3Jaemo Park4School of Physics, Korea Institute for Advanced StudyDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityDepartment of Physics and Astronomy & Center for Theoretical Physics, Seoul National UniversityLeinweber Center for Theoretical Physics, University of MichiganDepartment of Physics, Pohang University of Science and Technology (POSTECH)Abstract We study the cohomology of local BPS operators in N $$ \mathcal{N} $$ = 4 Yang-Mills theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion principle) and the rest which may describe black hole microstates in quantum AdS/CFT. We construct an infinite tower of non-graviton cohomologies in the SU(2) theory and study to what extent they simulate quantum black holes. We find signals for partial no-hair behaviors by showing that certain gravitons are forbidden to dress these cohomologies. This is in qualitative agreement with the perturbative hairs allowed around black holes, which also leads us to a natural setup to construct hairy BPS black holes. The cohomologies are simpler to study in the BMN matrix model truncation of the classical field theory.https://doi.org/10.1007/JHEP11(2023)175AdS-CFT CorrespondenceBlack Holes in String TheorySupersymmetric Gauge Theory
spellingShingle Sunjin Choi
Seok Kim
Eunwoo Lee
Siyul Lee
Jaemo Park
Towards quantum black hole microstates
Journal of High Energy Physics
AdS-CFT Correspondence
Black Holes in String Theory
Supersymmetric Gauge Theory
title Towards quantum black hole microstates
title_full Towards quantum black hole microstates
title_fullStr Towards quantum black hole microstates
title_full_unstemmed Towards quantum black hole microstates
title_short Towards quantum black hole microstates
title_sort towards quantum black hole microstates
topic AdS-CFT Correspondence
Black Holes in String Theory
Supersymmetric Gauge Theory
url https://doi.org/10.1007/JHEP11(2023)175
work_keys_str_mv AT sunjinchoi towardsquantumblackholemicrostates
AT seokkim towardsquantumblackholemicrostates
AT eunwoolee towardsquantumblackholemicrostates
AT siyullee towardsquantumblackholemicrostates
AT jaemopark towardsquantumblackholemicrostates