This talk addresses the problem of counting the microstates of supersymmetric asymptotically AdS black holes in terms of a holographically dual field theory. We focus on a particular BPS class of AdS_2 x S^2 near-horizon geometry in N=2 gauged supergravity relevant both for AdS_4 and AdS_5 black holes. We consider in the large N limit the topologically twisted index of the ABJM theory and the Casimir energy of N=4 SYM and show that they correctly reproduce the Bekenstein-Hawking entropy of the AdS_4 and AdS_5 black holes, respectively. An extremization of the partition functions with respect to a set of chemical potentials is required. We interpret it as the selection of the exact R-symmetry of the superconformal quantum mechanics describing the horizon of the black holes.
HET Seminar | Kiril Hristov, Bulgarian Academy of Sciences, Sofia | "Black hole microstates in AdS_4 and AdS_5 from supersymmetric partition functions
Fri, May 26, 2017, 1:45 pm
PCTS Seminar Room