Speaker
Description
The talk will present progress towards a microscopic understanding of the entropy of rotating BPS black holes in AdS. I will describe a new BPS limit of black hole thermodynamics which first focuses on a supersymmetric family of complexified solutions and then reaches extremality. In this limit the chemical potentials obey a constraint that is interpreted as a regularity condition in the Euclidean bulk geometry, and the on-shell gravitational action, which is the grand-canonical counterpart of the Bekenstein-Hawking entropy, takes a very simple form. I will then focus on AdS_5 black holes, where the gravitational analysis instructs us that the holographic dual N=1 superconformal field theory is defined on a twisted S^1 x S^3 with complexified chemical potentials obeying the constraint, and localization allows to compute the partition function exactly. This computation defines a slightly modified supeconformal index as well as a generalization of the supersymmetric Casimir energy. I will discuss how the black hole entropy is encoded in these quantities.
