Quaternionic Kahler metrics associated with special Kahler manifolds

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Authors

ALEKSEEVSKY Dmitry CORTÉS SUAREZ Vicente DYCKMANNS Malte MOHAUPT Thomas

Year of publication 2015
Type Article in Periodical
Magazine / Source Journal of Geometry and Physics
MU Faculty or unit

Faculty of Science

Citation
Web Full Text
Doi http://dx.doi.org/10.1016/j.geomphys.2014.12.012
Field General mathematics
Keywords Quaternionic Kahler manifolds; c-map; Ferrara-Sabharwal metric; One-loop deformation; HK/QK correspondence
Description We give an explicit formula for the quaternionic Kahler 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 Kahler. A similar explicit formula is given for the analogous (K/K) correspondence between Kahler manifolds endowed with a Hamiltonian Killing vector field. As an example, we apply this formula in the case of an arbitrary conical Kahler Manifold. (C) 2015 Elsevier B.V. All rights reserved.
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