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.
No takes yet. Share an insight, caveat, or question.
Larsen et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: