Abstract Six-dimensional (6D) superconformal field theories (SCFTs) occupy a central place
in the study of quantum field theories encountered in high energy theory. This article reviews …

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 …

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 …

A bstract Equilibrium finite temperature observables of a CFT can be described by a local
effective action for background fields—a “thermal effective action”. This effective action …

The superconformal index Z of the 6d (2, 0) theory on S 5× S 1 (which is related to the
localization partition function of 5d SYM on S 5) should be captured at large N by the …

A bstract We initiate an approach to constraining conformal field theory (CFT) data at finite
temperature using methods inspired by the conformal bootstrap for vacuum correlation …

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 …

A bstract Hellerman et al.(arXiv: 1505.01537) have shown that in a generic CFT the
spectrum of operators carrying a large U (1) charge can be analyzed semiclassically in an …

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 …