On the uniqueness of supersymmetric AdS(5) black holes with toric symmetry

Abstract We consider the classification of supersymmetric AdS 5 black hole solutions to minimal gauged supergravity that admit a torus symmetry. This problem reduces finding class toric Kähler metrics on base space, which in symplectic coordinates are determined by potential. derive general form potential near any component horizon or axis symmetry, determines its singular part for solution this class, including possible new such as lenses and multi-black holes. find most known context, found Chong, Cvetic, Lü Pope (CCLP), is described remarkably simple prove timelike outside smooth horizon, with metric Calabi type, must be CCLP near-horizon geometry.