From AdS black holes to supersymmetric flux-branes

We show that AdS black hole solutions admit an analytical continuation to become magnetic flux-branes. Although a static BPS AdS black hole generally has a naked singularity, the BPS flux-brane can be regular everywhere with an appropriate choice of U(1)-charges. This flux-brane interpolates from AdSD−2×H2 at small distance to an asymptotic AdSD-type metric with an AdSD−2×S1 boundary. We also obtain a smooth cosmological solution of de Sitter Einstein-Maxwell gravity which flows from dS2×SD−2 in the infinite past to a dSD-type metric, with an SD−2×S1 boundary, in the infinite future.