Lectures on AdS Black Holes, Holography and Localization

Understand

In these lectures I review some recent progresses in counting the number of microstates of AdS supersymmetric black holes in dimensions equal or greater than four using holography.

• The counting is obtained by applying localization and matrix model techniques to the dual field theory.
• I cover in details the case of dyonic AdS$_4$ black holes, corresponding to a twisted compactification of the dual field theory, and I discuss the state of the art for rotating AdS$_5$ black holes.