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arXiv · 2405.17648

Supersymmetric Charge Constraints on AdS Black Holes from Free Fields

Finn Larsen·Siyul Lee
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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 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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Finn Larsen, Siyul Lee. 2024-05-27. Supersymmetric Charge Constraints on AdS Black Holes from Free Fields. https://arxiv.org/abs/2405.17648

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