Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894726 | Journal of Geometry and Physics | 2015 | 17 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
D.V. Alekseevsky, V. Cortés, M. Dyckmanns, T. Mohaupt,