Quaternionic Kahler metrics associated with special Kahler manifolds
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Geometry and Physics |
| MU Faculty or unit | |
| 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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