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 …

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 study the asymptotic behavior of the (modified) superconformal index for
4d\(\mathcal {N}\)= 1 gauge theory. By considering complexified chemical potential, we find …

We study the canonical AdS/CFT correspondence between 4d SU (N) N= 4 super Yang-
Mills theory (SYM) and type IIB superstring theory on AdS 5× S 5. We analyze the …

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 …

A bstract We consider rotating, electrically charged, supersymmetric AdS black holes in four,
five, six and seven dimensions, and provide a derivation of the respective extremization …

The large N limit of the four-dimensional superconformal index was computed and
successfully compared to the entropy of a class of AdS 5 black holes only in the particular …

A bstract We provide a unifying entropy functional and an extremization principle for black
holes and black strings in AdS 4× S 7 and AdS 5× S 5 with arbitrary rotation and generic …