6533b7cffe1ef96bd1258fa0

RESEARCH PRODUCT

Elementary Deformations and the HyperKähler-Quaternionic Kähler Correspondence

Oscar MaciaAndrew Swann

subject

Statement (computer science)Theoretical physicsCurvature formContext (language use)Mathematics::Differential GeometryUniquenessSymmetry (geometry)Deformation (meteorology)TwistMathematics::Symplectic GeometryMathematics

description

The hyperKahler-quaternionic Kahler correspondence constructs quaternionic Kahler metrics from hyperKahler 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.

https://pure.au.dk/portal/en/publications/elementary-deformations-and-the-hyperkahlerquaternionic-kahler-correspondence(ce2a2973-31b7-43c7-8ee8-9768960f1a54).html