Quaternionic Kahler metrics associated with special Kahler manifolds



Alekseevsky, DV, Cortes, V, Dyckmanns, M and Mohaupt, T ORCID: 0000-0002-6864-4086
(2015) Quaternionic Kahler metrics associated with special Kahler manifolds. JOURNAL OF GEOMETRY AND PHYSICS, 92. pp. 271-287.

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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.

Item Type: Article
Additional Information: 30 pages, appendix extended, final version published in JGP
Uncontrolled Keywords: Quaternionic Kahler manifolds, c-map, Ferrara-Sabharwal metric, One-loop deformation, HK/QK correspondence
Subjects: ?? QA ??
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Depositing User: Symplectic Admin
Date Deposited: 25 Nov 2015 14:31
Last Modified: 16 Dec 2022 08:20
DOI: 10.1016/j.geomphys.2014.12.012
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/2038919

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