Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry

Details Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry

2001-01-24

arxiv.org/abs/hep-th/0101161v2

JHEP 0102 (2001) 039

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, no figures, typos corrected, some references added

Scientific paper

10.1088/1126-6708/2001/02/039

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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