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 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 …

In these lectures, we give a pedagogical introduction to the superconformal index. This is the
writeup of the lectures given at the Winter School'YRISW 2020'and is to appear in a special …

A bstract We propose and test a novel conjectural relation satisfied by the superconformal
index of maximally supersymmetric U (N) gauge theory in four dimensions. Analogous …

A bstract We study the cohomology of local BPS operators in\(\mathcal {N}\)= 4 Yang-Mills
theory. The finite N cohomologies consist of the graviton part (subject to the stringy exclusion …

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 present a complete basis to study gauged curvature-squared supergravity in five
dimensions. We replace the conventional ungauged Riemann-squared action with a new …

A bstract We study how the microstates of BPS sectors in string theory are organized in the
dual U (N) gauge theory. The microstates take the form of a coherent sum of stacks of branes …

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 …