Quaternion-Kahler spaces, hyperkahler cones, and the c-map

Abstract

Under the action of the c-map, special Kahler manifolds are mapped into a class of quaternion-Kahler spaces. We explicitly construct the corresponding Swann bundle or hyperkahler cone, and determine the hyperkahler potential in terms of the prepotential of the special Kahler geometry.

12 pages, Submitted to the "Handbook of pseudo-Riemannian geometry and supersymmetry", IRMA Lectures in Mathematical Physics; references and typos corrected; published version