Supergravity instantons for N=2 hypermultiplets Original Research Article

The dimensional reduction of eleven-dimensional supergravity on a Calabi–Yau manifold gives N=2 supergravity in five dimensions with h1,1 vector and h2,1+1 hypermultiplets. In this paper instanton solutions are constructed which are responsible for non-perturbative corrections to the hypermultiplet moduli spaces. These instantons are wrapped Euclidean membranes and fivebranes. For vanishing fivebrane charge the BPS conditions for these solutions define a flow in the hypermultiplet moduli space and are isomorphic to the attractor equations for four-dimensional black holes.