Quaternionic Kähler metrics associated with special Kähler manifolds

We give an explicit formula for the quaternionic Kähler 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 Kähler. A similar explicit formula is given for the analogous...

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Bibliographic Details
Published inJournal of geometry and physics Vol. 92; pp. 271 - 287
Main Authors Alekseevsky, D.V., Cortés, V., Dyckmanns, M., Mohaupt, T.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.06.2015
Subjects
[formula omitted]-map
Ferrara–Sabharwal metric
HK/QK correspondence
One-loop deformation
Quaternionic Kähler manifolds
HK/QK correspondence
One-loop deformation
c-map
Quaternionic Kähler manifolds
Ferrara–Sabharwal metric
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Summary:We give an explicit formula for the quaternionic Kähler 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 Kähler. A similar explicit formula is given for the analogous (K/K) correspondence between Kähler manifolds endowed with a Hamiltonian Killing vector field. As an example, we apply this formula in the case of an arbitrary conical Kähler manifold.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2014.12.012