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

Cumrun Vafa; Martin Rocek; Stefan Vandoren

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

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arxiv math/0603048 v3 pith:L4JE4EAD submitted 2006-03-02 math.DG hep-th

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

Martin Rocek , Cumrun Vafa , Stefan Vandoren This is my paper

classification math.DG hep-th

keywords hyperkahlerc-mapkahlerquaternion-kahlerspacesspecialactionbundle

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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.

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

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