Status  Confirmed 
Seminar Series  IPHTMAT 
Subjects  hepth 
Date  Wednesday 26 April 2017 
Time  14:15 
Institute  IPHT 
Seminar Room  Salle Claude Itzykson, Bât. 774 
Speaker's Last Name  Kiril Hristov 
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Speaker's Institution  INRNE, Sofiya 
Title  Black hole microstates in AdS$_4$ and AdS$_5$ from supersymmetric partition functions 
Abstract  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$_2 x S^2$ nearhorizon 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 partition function of N=4 SYM and show that they correctly reproduce the BekensteinHawking 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 Rsymmetry of the superconformal quantum mechanics describing the horizon of the black holes. 
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