Exact microstate counting for dyonic black holes in AdS4

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We present a counting of microstates of a class of dyonic BPS black holes in AdS4 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.




Benini, F., Hristov, K., & Zaffaroni, A. (2017). Exact microstate counting for dyonic black holes in AdS4. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 771, 462–466. https://doi.org/10.1016/j.physletb.2017.05.076

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