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Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry

Bernard de Wit·Martin Rocek·Stefan Vandoren
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Abstract

We study hyperkahler cones and their corresponding quaternion-Kahler spaces. We present a classification of 4(n-1)-dimensional quaternion-Kahler 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-Kahler manifolds that may describe instanton corrections to the moduli space.

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Bernard de Wit, Martin Rocek, Stefan Vandoren. 2001-02-25. Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry. https://doi.org/10.1088/1126-6708%2F2001%2F02%2F039

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