Exact microstate counting for dyonic black holes in AdS4

TL;DR

This paper calculates the microstates of certain dyonic BPS black holes in AdS4 using the dual boundary ABJM theory, successfully matching their entropy through a novel extremization approach.

Contribution

It introduces an exact microstate counting method in the dual boundary theory that reproduces the black hole entropy, linking it to the attractor mechanism in gauged supergravity.

Findings

Microstate counting matches Bekenstein-Hawking entropy

Proposes an extremization principle for entropy extraction

Connects boundary index with supergravity attractor mechanism

Abstract

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.