Black hole microstate counting in Type IIB from 5d SCFTs

Abstract

Abstract We use recently established AdS6/CFT5 dualities to count the microstates of magnetically charged AdS6 × S 2 × Σ black holes in Type IIB. The near-horizon limit is described by solutions with AdS2 × $$ {\varSigma}_{{\mathfrak{g}}_1} $$ Σ g 1 × $$ {\varSigma}_{{\mathfrak{g}}_2} $$ Σ g 2 × S 2 × Σ geometry, where $$ {\varSigma}_{{\mathfrak{g}}_i} $$ Σ g i 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 N 4 scaling found in the sphere partition functions and extend previous matches of sphere partition functions to AdS6 solutions with monodromy.