Matter-coupled supersymmetric Kerr-Newman-AdS$_4$ black holes
Résumé
We present new analytic rotating four-dimensional anti–de Sitter space (AdS4) black holes, found as solutions of gauged N=2 supergravity coupled to Abelian vector multiplets with a symmetric scalar manifold. These configurations preserve two real supercharges and have a smooth limit to the BPS Kerr-Newman-AdS4 black hole. We spell out the solution of the STU model admitting an uplift to M-theory on S7. We identify an entropy function, which upon extremization gives the black hole entropy, to be holographically reproduced by the leading N contribution of the generalized superconformal index of the dual theory.