Entropy functions of BPS black holes in AdS${}_4$ and AdS${}_6$

Abstract

We find the entropy functions of supersymmetric black holes in AdS${}_4$ and AdS${}_6$ with electric charges and angular momenta. Extremizing these functions, one obtains the entropies and the chemical potentials of known analytic black hole solutions.

16 pages, no figures, v2: references added, fixed overall sign for the entropy function of supersymmetric AdS${}_4$ black holes