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Quaternion-Kahler spaces, hyperkahler cones, and the c-map

Martin Rocek·Cumrun Vafa·Stefan Vandoren
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Abstract

Under the action of the c-map, special Kahler manifolds are mapped into a class of quaternion-Kahler spaces. We explicitly construct the corresponding Swann bundle or hyperkahler cone, and determine the hyperkahler potential in terms of the prepotential of the special Kahler geometry.

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Martin Rocek, Cumrun Vafa, Stefan Vandoren. 2006-05-02. Quaternion-Kahler spaces, hyperkahler cones, and the c-map. https://arxiv.org/abs/math/0603048

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