Exact microstate counting for dyonic black holes in AdS4

We present a counting of microstates of a class of dyonic BPS black holes in AdS(4) which precisely reproduces their Bekenstein-Hawking entropy. The counting is performed in the dual boundary description, that provides a non-perturbative definition of quantum gravity, in terms of a twisted and mass-deformed ABJM theory. We evaluate its twisted index and propose an extremization principle to extract the entropy, which reproduces the attractor mechanism in gauged supergravity. (C) 2017 The Author(s). Published by Elsevier B.V.