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

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

2006-03-02

arxiv.org/abs/math/0603048v3

Mathematics

Differential Geometry

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

Scientific paper

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.

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