Supersymmetric Charge Constraints on AdS Black Holes from Free Fields

2024/05/27 by Finn Larsen, Larsen, Finn, Siyul Lee +1 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2405.17648

openalex publication_date 2024/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 AdS₄, AdS₅ and AdS₇ black holes, and generalize an earlier one for the analogous constraint in AdS₃. Our results suggest a microscopic understanding of AdS black holes beyond the scope of supersymmetric indices.

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• Extremal AdS Black Holes as Fluids: A Matrix Large-Charge EFT Approach
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