Schedule Feb 25, 2021
1/16 BPS black holes in 4d N=4 SYM
Alejandro Cabo-Bizet, King's College London
Cite as: doi:10.26081/K6632H

It has been argued in the past that black holes can carry quantum hair on top of their mass, electric or magnetic charge, and angular momentum. A first-principles realization of this idea seems to be emerging in the context of 1/16 BPS black holes in AdS_5/CFT_4. For large enough charges, we find that the entropy of the 1/16 BPS sector of the CFT_4, which is SU(N) N=4 SYM, matches the event horizon area of the classical black hole and quantum corrections disappear. For small enough charges, though, the area law receives quantum corrections from complex saddles of the relevant Euclidean partition function. Some of these saddles happen to be classified by subgroups of Z_N\times Z_N. Being N the rank of a gauge group, it is natural to expect that, but not yet understood if, they carry discrete gauge charges, just as quantum hair should. This talk will review how the previous notion of quantum corrections to entropy, reminiscent of an effect due to the superposition of quantum hairs, emerges from a recent first-principles analysis in the context of a 1/16 BPS twist of AdS/CFT duality, specifically from the analysis of a unitary matrix integral representation of the partition function of a 1/16 BPS twist of SU(N) 4d N=4 SYM, at large N.

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