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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Bibliographic Details
Published in:Journal of High Energy Physics
Main Authors: Sunjin Choi, Seok Kim, Eunwoo Lee, Siyul Lee, Jaemo Park
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
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Online Access:https://doi.org/10.1007/JHEP11(2023)175
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Summary: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.
ISSN:1029-8479