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 …

Non-relativistic quantum field theory is a framework that describes systems where the
velocities are much smaller than the speed of light. A large class of those obey Schrödinger …

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 …

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 …

A bstract It has long been conjectured that the large N deconfinement phase transition
of\(\mathcal {N}\)= 4 SU (N) super-Yang-Mills corresponds via AdS/CFT to the Hawking …

A bstract We systematically study various sub-leading structures in the superconformal index
of\(\mathcal {N}\)= 4 supersymmetric Yang-Mills theory with SU (N) gauge group. We …