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arXiv · 1601.05001

The para-HK/QK correspondence

Malte Dyckmanns·Owen Vaughan
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Abstract

We generalise the hyper-Kahler/quaternionic Kahler (HK/QK) correspondence to include para-geometries, and present a new concise proof that the target manifold of the HK/QK correspondence is quaternionic Kahler. As an application, we construct one-parameter deformations of the temporal and Euclidean supergravity c-map metrics and show that they are para-quaternionic Kahler.

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Malte Dyckmanns, Owen Vaughan. 2016-01-19. The para-HK/QK correspondence. https://doi.org/10.1016/j.geomphys.2017.01.024

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