Large AdS${}_6$ black holes from CFT${}_5$

Abstract

We study supersymmetric AdS${}_6$ black holes at large angular momenta, from the index of 5d SCFTs on $S^4\times \mathbb{R}$ in the large $N$ and Cardy limit. Our examples are the strong coupling limits of 5d gauge theories on the D4-D8-O8 system. The large $N$ free energy scales like $N^{5/2}$, statistically accounting for the entropy of large black holes in AdS${}_6$. Instanton solitons play subtle roles to realize these deconfined degrees of freedom.

31 pages, no figures; v2: references added, minor correction

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• 5-dim Superconformal Index with Enhanced En Global Symmetry
• On Geometric Classification of 5d SCFTs
• Cardy Formulae for SUSY Theories in d=4 and d=6
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• The Yang-Mills duals of small AdS black holes