Black hole microstate counting in Type IIB from 5d SCFTs

Abstract

We use recently established AdS${}_6$/CFT${}_5$ dualities to count the microstates of magnetically charged AdS${}_6\times S^2\times \Sigma$ black holes in Type IIB. The near-horizon limit is described by solutions with AdS${}_2\times {\Sigma }_{{\mathfrak{g}}_1}\times {\Sigma }_{{\mathfrak{g}}_2}\times S^2\times \Sigma$ geometry, where ${\Sigma }_{{\mathfrak{g}}_i}$ are Riemann surfaces of constant curvature and $\Sigma$ is a further Riemann surface over which the geometry is warped. Our results show that the topologically twisted indices of the proposed dual superconformal field theories precisely reproduce the Bekenstein-Hawking entropy of this class of black holes. This provides further support for a prescription to compute five-dimensional topologically twisted indices put forth recently, and for the proposed dualities. We confirm the $N^4$ scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS${}_6$ solutions with monodromy.

arXiv comment31 pages; V2: ref. added, minor corrections

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