Holography from number theory: Emergent holographic AdS space-time from exact BPS black hole microstate counting
This paper demonstrates that the exact number-theoretic counting of 4D BPS black hole microstates via Rademacher expansions can be mapped to a Segal-Bargmann heat kernel calculation in a conformal quantum mechanics model, thereby revealing the holographic emergence of an AdS bulk geometry and deriving the Bekenstein-Hawking entropy along with its corrections from entanglement entropy.