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Main Authors: Larsen, Finn, Lee, Siyul
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.17648
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author Larsen, Finn
Lee, Siyul
author_facet Larsen, Finn
Lee, Siyul
contents Supersymmetric AdS black hole solutions exist only when their angular momenta and charges satisfy a certain constraint that depends on the dimension. We show that these nonlinear relations on the conserved charges agree with a computation in the dual supersymmetric CFT in its free limit, with interactions entering only through a uniform rescaling of all charges. Our computations apply to the highly non-trivial charge constraints for AdS$_4$, AdS$_5$ and AdS$_7$ black holes, and generalize an earlier one for the analogous constraint in AdS$_3$. Our results suggest a microscopic understanding of AdS black holes beyond the scope of supersymmetric indices.
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id arxiv_https___arxiv_org_abs_2405_17648
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Supersymmetric Charge Constraints on AdS Black Holes from Free Fields
Larsen, Finn
Lee, Siyul
High Energy Physics - Theory
Supersymmetric AdS black hole solutions exist only when their angular momenta and charges satisfy a certain constraint that depends on the dimension. We show that these nonlinear relations on the conserved charges agree with a computation in the dual supersymmetric CFT in its free limit, with interactions entering only through a uniform rescaling of all charges. Our computations apply to the highly non-trivial charge constraints for AdS$_4$, AdS$_5$ and AdS$_7$ black holes, and generalize an earlier one for the analogous constraint in AdS$_3$. Our results suggest a microscopic understanding of AdS black holes beyond the scope of supersymmetric indices.
title Supersymmetric Charge Constraints on AdS Black Holes from Free Fields
topic High Energy Physics - Theory
url https://arxiv.org/abs/2405.17648