Black Holes in Quantum Mechanics

I will motivate and study a holographic duality between on one hand a theory of superconformal quantum mechanics, and on the other, M-theory on a particular background. I will explain how to construct black hole solutions in the bulk theory, which are examples of “ultra-spinning” black holes. Through an asymptotic study of the superconformal index in the supergravity regime, I will provide a precise microstate counting for those ultra-spinning black holes that are supersymmetric. Finally, I will discuss the relation of conformal quantum mechanics and ultra-spinning black holes to notions of holomorphic factorisation and gravitational blocks, for holographic CFTs in four and six dimensions.