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 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 four-derivative corrections to five-dimensional minimal gauged
supergravity. We evaluate the on-shell action of the AdS 5 black hole solution with two …

Reproducing the integer count of black hole micro-states from the gravitational path integral
is an important problem in quantum gravity. In this paper, we show that, by using …

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 …

The superconformal index of $\frac12 $-BPS states of $\mathcal {N}= 4$$ U (N) $ super
Yang-Mills theory has a known infinite $ q $-series expression with successive terms …

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 …

A bstract We show that the Bekenstein-Hawking entropy of large supersymmetric black
holes in AdS 5× S 5 emerges from remarkable cancellations in the giant graviton …