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 ?? ?? QC ??
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:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2038919

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