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 …

A bstract We systematically analyze the operator content of unitary superconformal
multiplets in d≥ 3 spacetime dimensions. We present a simple, general, and efficient …

A bstract Mixed anomalies, higher form symmetries, two-group symmetries and non-
invertible symmetries have proved to be useful in providing non-trivial constraints on the …

We consider BPS states in a large class of d= 4, N= 2 field theories, obtained by reducing six-
dimensional (2, 0) superconformal field theories on Riemann surfaces, with defect operators …

A bstract We study the generalization of S-duality and Argyres-Seiberg duality for a large
class of N= 2 superconformal gauge theories. We identify a family of strongly interacting …

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 …

We identify a large class R of three-dimensional N=2 superconformal field theories. This
class includes the effective theories T_M of M5-branes wrapped on 3-manifolds M …

A bstract Many examples of low-energy dualities have been found in supersymmetric gauge
theories with four supercharges, both in four and in three space-time dimensions. In these …

A bstract There is significant evidence for a duality between (non-supersymmetric) U (N)
Chern-Simons theories at level k coupled to fermions, and U (k) Chern-Simons theories at …

We consider a class of line operators in d=4,N=2 supersymmetric field theories, which leave
four supersymmetries unbroken. Such line operators support a new class of BPS states …