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 …

Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

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 worldsheet instantons in holographic type IIA backgrounds directly in
string theory. The first background is a dimensional reduction of AdS 7× S 4 and is dual to …

A bstract Six-dimensional conformal field theories with (2, 0) supersymmetry are shown to
possess a protected sector of operators and observables that are isomorphic to a two …

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 …

We develop the conformal bootstrap program for six-dimensional conformal field theories
with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor …

A bstract Instanton partition functions of 5d\(\mathcal {N}= 1\) gauge theories are Witten
indices for the ADHM gauged quantum mechanics with (0, 4) SUSY. We derive the integral …

A bstract We consider supersymmetric theories on a space with compact space-like slices.
One can count BPS representations weighted by (− 1) F, or, equivalently, study …

We study giant graviton expansions of the superconformal index of 4D orbifold/orientifold
theories. In general, a giant graviton expansion is given as a multiple sum over wrapping …