Quaternionic K\"ahler metrics associated with special K\"ahler manifolds
Differential Geometry
2015-03-31 v2 High Energy Physics - Theory
Abstract
We give an explicit formula for the quaternionic K\"ahler metrics obtained by the HK/QK correspondence. As an application, we give a new proof of the fact that the Ferrara-Sabharwal metric as well as its one-loop deformation is quaternionic K\"ahler. A similar explicit formula is given for the analogous (K/K) correspondence between K\"ahler manifolds endowed with a Hamiltonian Killing vector field. As an example, we apply this formula in the case of an arbitrary conical K\"ahler manifold.
Keywords
Cite
@article{arxiv.1305.3549,
title = {Quaternionic K\"ahler metrics associated with special K\"ahler manifolds},
author = {Dmitri V. Alekseevsky and Vicente Cortés and Malte Dyckmanns and Thomas Mohaupt},
journal= {arXiv preprint arXiv:1305.3549},
year = {2015}
}
Comments
30 pages, appendix extended, final version published in JGP