On the relation between BPS solutions in 4D and 5D

摘要

We discuss the explicit dictionary between general stationary four- and five-dimensional supersymmetric solutions in N = 2 supergravity theories with cubic prepotentials. All these solutions are completely determined in terms of the same set of harmonic functions and attractor equations. We discuss various examples like black holes and black rings in Taub-NUT space-time. Then we consider corrections to the four-dimensional solutions associated with more general prepotentials and comment on analogous corrections on the 5D side.