Supergravity Instantons for N=2 Hypermultiplets

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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29 pages, harvmac(b), no figures, v4: typos corrected, version to appear in NPB

Scientific paper

10.1016/S0550-3213(00)00756-2

The dimensional reduction of eleven dimensional supergravity on a Calabi-Yau manifold gives N=2 supergravity in five dimensions with $h_{1,1}$ vector and $h_{2,1}+1$ hypermultiplets. In this paper instanton solutions are constructed which are responsible for nonperturbtative 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.

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