I review some recent progresses in counting the number of microstates of AdS
supersymmetric black holes in dimension equal or greater than four using holography. The …

In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

Black-hole solutions to general relativity carry a thermodynamic entropy, discovered by
Bekenstein and Hawking to be proportional to the area of the event horizon, at leading order …

We present a holographic derivation of the entropy of supersymmetric asymptotically AdS 5
black holes. We define a BPS limit of black hole thermodynamics by first focussing on a …

We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev (SYK) model. These
are quantum mechanical models involving N Majorana fermions. The supercharge is given …

Due to the failure of thermodynamics for low temperature near-extremal black holes, it has
long been conjectured that a'thermodynamic mass gap'exists between an extremal black …

We study the index of $\mathcal {N}= 4$ Yang-Mills theory on $ S^ 3\times\mathbb {R} $ at
large angular momenta. A generalized Cardy limit exhibits macroscopic entropy at large $ N …

These lectures review recent developments in our understanding of the emergence of local
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …

We study the thermodynamics of AdS 4 black hole solutions of Einstein-Maxwell theory that
are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for …

A bstract In this paper we argue for a close connection between the non-existence of global
symmetries in quantum gravity and a unitary resolution of the black hole information …