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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Acknowledgements
This work is partially supported by the Danish Council for Independent Research, Natural Sciences, and by the Spanish Agency for Scientific and Technical Research (DGICT) and FEDER project MTM2010-15444.
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Macia, O., Swann, A. (2014). Elementary Deformations and the HyperKähler-Quaternionic Kähler Correspondence. In: Suh, Y.J., Berndt, J., Ohnita, Y., Kim, B.H., Lee, H. (eds) Real and Complex Submanifolds. Springer Proceedings in Mathematics & Statistics, vol 106. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55215-4_30
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DOI: https://doi.org/10.1007/978-4-431-55215-4_30
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