Quaternion-Kahler spaces, hyperkahler cones, and the c-map
Differential Geometry
2007-05-23 v3 High Energy Physics - Theory
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.
Cite
@article{arxiv.math/0603048,
title = {Quaternion-Kahler spaces, hyperkahler cones, and the c-map},
author = {Martin Rocek and Cumrun Vafa and Stefan Vandoren},
journal= {arXiv preprint arXiv:math/0603048},
year = {2007}
}
Comments
12 pages, Submitted to the "Handbook of pseudo-Riemannian geometry and supersymmetry", IRMA Lectures in Mathematical Physics; references and typos corrected; published version