Supergravity Instantons for N=2 Hypermultiplets

TL;DR

This paper constructs instanton solutions in five-dimensional N=2 supergravity derived from eleven-dimensional supergravity, revealing their role in nonperturbative corrections to hypermultiplet moduli spaces, with solutions related to black hole attractor equations.

Contribution

It introduces explicit instanton solutions involving wrapped membranes and fivebranes, linking hypermultiplet moduli space flows to black hole attractor equations.

Findings

Instanton solutions are constructed for hypermultiplet moduli spaces.

Solutions are related to attractor equations for black holes.

Nonperturbative corrections to moduli spaces are characterized.

Abstract

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.