Hypermultiplets, Hyperkähler Cones and Quaternion-Kähler Geometry
نویسندگان
چکیده
We study hyperkähler cones and their corresponding quaternion-Kähler spaces. We present a classification of 4(n − 1)-dimensional quaternionKähler spaces with n abelian quaternionic isometries, based on dualizing superconformal tensor multiplets. These manifolds characterize the geometry of the hypermultiplet sector of perturbative moduli spaces of type-II strings compactified on a Calabi-Yau manifold. As an example of our construction, we study the universal hypermultiplet in detail, and give three inequivalent tensor multiplet descriptions. We also comment on the construction of quaternion-Kähler manifolds that may describe instanton corrections to the moduli space.
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