Hypermultiplets, hyperKähler cones and quaternion-Kähler geometry
By B. Wit, M. Roček, S. Vandoren. 2001
190 citations recorded by the source corpus.
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 geome- try of the hypermultiplet sector of classical and 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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/508d58db0427223744231b06b447b920f5164b97
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- 'Special geometry of Euclidean supersymmetry I: Vector multiplets' (2003, methodology): “This relation is natural from the viewpoint of conformal calculus [60], and it is possible to adapt the construction to theories with Euclidean signature in order to construct para-quaternionicKähler manifolds.”
- N = 2 supergravity in five dimensions revisited (2004, methodology): “e will always assume the presence of a metric. Therefore, we will only deal with the hyperkahler and quaternionicKahler geometries. The geometry and relation between these spaces was also analysed in [25], and in the mathematics literature [31]. Our analysis here involves a different choice of coordi”
- Maximally homogeneous para-CR manifolds of semisimple type (2006, unknown): “= 2 tensor multiplets. Furthermore, the conditions for a homothetic Killing vector and SU(2) isometries imply that H is a function homogeneous of first degree4 (in η) and without explicit ζ dependence [6]. Since H is homogeneous of first degree in η, it follows that the hyperk¨ahler potential is also ”
- String loop corrected hypermultiplet moduli spaces (2006, result): “ inequivalent pairs of commuting isometries which can be used to dualize scalars into tensor fields, the description of the universal hypermultiplet in terms of a double tensor multiplet is not unique [24], so strictly speaking a “universal double tensor multiplet” does not exist. 33 We now compare t”