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 …

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 give a pedagogical introduction to the study of supersymmetric partition functions of 3D
𝒩= 2 supersymmetric Chern–Simons-matter theories (with an R-symmetry) on half-BPS …

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 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 …

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 We revamp the constructive enumeration of 1/16-BPS states in the maximally
supersymmetric Yang-Mills in four dimensions, and search for ones that are not of multi …

We construct a family of multidyonically charged and rotating supersymmetric AdS 2× Σ
solutions of D= 4, N= 4 gauged supergravity, where Σ is a sphere with two conical …

A bstract We show that the Bekenstein-Hawking entropy of a class of BPS electrically
charged rotating black holes in AdS 5× S 5 can be obtained by a simple extremization …

The superconformal index of the N= 4 SU (N) supersymmetric Yang-Mills theory counts the
1/16-BPS (Bogomol'nyi-Prasad-Sommerfield) states in this theory, and has been used via …