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arxiv: math/0603048 · v3 · submitted 2006-03-02 · 🧮 math.DG · hep-th

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

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.

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