BooksirmaCollected Volumepp. 3–13

Quaternion-Kähler spaces, hyper-Kähler cones, and the c-map

  • Martin Roček

    Stony Brook University, USA

  • Cumrun Vafa

    Harvard University, Cambridge, USA

  • Stefan Vandoren

    Universiteit Utrecht, Netherlands
Quaternion-Kähler spaces, hyper-Kähler cones, and the c-map cover

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Abstract

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