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arXiv · 1404.1169

Elementary deformations and the hyperKähler-quaternionic Kähler correspondence

Oscar Macia·Andrew Swann
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Abstract

The hyperKähler-quaternionic Kähler correspondence constructs quaternionic Kähler metrics from hyperKähler metrics with a rotating circle symmetry. We discuss how this may be interpreted as a combination of the twist construction with the concept of elementary deformation, surveying results of our forthcoming paper. We outline how this leads to a uniqueness statement for the above correspondence and indicate how basic examples of c-map constructions may be realised in this context.

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Oscar Macia, Andrew Swann. 2014-04-12. Elementary deformations and the hyperKähler-quaternionic Kähler correspondence. https://arxiv.org/abs/1404.1169

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