Holographic covering and the fortuity of black holes

Abstract

We propose a classification of BPS states in holographic CFTs into monotone and fortuitous, based on their behaviors in the large $N$ limit. Intuitively, monotone BPS states form infinite sequences with increasing rank $N$, while fortuitous ones exist within finite ranges of consecutive ranks. A precise definition is formulated using supercharge cohomology. We conjecture that under the AdS/CFT correspondence, monotone BPS states are dual to smooth horizonless geometries, and fortuitous ones are responsible for typical black hole microstates and give dominant contributions to the entropy. We present supporting evidence for our conjectures in the $\mathcal{N}=4$ SYM and symmetric product orbifolds.

23 pages, 1 figure; v2: minor revision, Appendix A added

Cited by in corpus (4)

• BPS Chaos
• Dual Dressed Black Holes as the end point of the Charged Superradiant instability in $\mathcal{N}=4$ Yang Mills
• Supersymmetric Grey Galaxies, Dual Dressed Black Holes and the Superconformal Index
• Witten index of BMN matrix quantum mechanics