Black hole microstate counting in Type IIB from 5d SCFTs

Abstract

We use recently established AdS6/CFT5 dualities to count the microstates of magnetically charged AdS6 × S2 × Σ black holes in Type IIB. The near-horizon limit is described by solutions with AdS2 × Σg1 × Σg2 × S2 × Σ geometry, where Σgi are Riemann surfaces of constant curvature and Σ 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 fivedimensional topologically twisted indices put forth recently, and for the proposed dualities. We confirm the N4 scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS6 solutions with monodromy.