Description
I will first review the basic ideas of holography for non-relativistic conformal field theories, and describe a systematic approach to construct black hole solutions in the corresponding dual theories of gravity. I will then focus on an explicit such duality, that identifies a concrete superconformal quantum mechanics with M-theory on a particular background. Through an asymptotic study of the superconformal index in the supergravity regime, I will provide a precise microstate counting for a broad class of BPS black holes. I will finally discuss some subtle and somewhat counter-intuitive features of holographic dualities of this type, and speculate on the role that non-relativistic string theory and its low-energy effective description can play towards a better understanding thereof.
