Microstate counting of AdS4 hyperbolic black hole entropy via the topologically twisted index

We compute the topologically twisted index for general N = 2 supersymmetric field theories on H-2 x S-1. We also discuss asymptotically AdS(4) magnetically charged black holes with hyperbolic horizon, in four-dimensional N = 2 gauged supergravity. With certain assumptions, put forward by Benini, Hristov and Zaffaroni, we find precise agreement between the black hole entropy and the topologically twisted index, for ABJM theories.