English

The para-HK/QK correspondence

Differential Geometry 2017-04-05 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.1601.05001,
  title  = {The para-HK/QK correspondence},
  author = {Malte Dyckmanns and Owen Vaughan},
  journal= {arXiv preprint arXiv:1601.05001},
  year   = {2017}
}

Comments

26 pages

R2 v1 2026-06-22T12:32:47.004Z