Special geometries, from real to quaternionic
arXiv:hep-th/0110263
Abstract
Special geometry is most known from 4-dimensional N=2 supergravity, though it contains also quaternionic and real geometries. In this review, we first repeat the connections between the various special geometries. Then the constructions are given starting from the superconformal approach. Without going in detail, we give the main underlying principles. We devote special attention to the quaternionic manifolds, introducing the notion of hypercomplex geometry, being manifolds close to hyperkaehler manifolds but without a metric. These are related to supersymmetry models without an action.
21 pages, 2 figures, Contribution to the proceedings of the `Workshop on special geometric structures in string theory', Bonn, 8-11/9/2001
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Cited by in corpus (10)
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- Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
- On the Magical Supergravities in Six Dimensions
- The map between conformal hypercomplex/hyper-Kaehler and quaternionic(-Kaehler) geometry
- Real forms of very extended Kac-Moody algebras and theories with eight supersymmetries
- Twistorial maps between quaternionic manifolds
- Holographic Superconductors in a Cohesive Phase
- A Generalisation of (Very) Special Geometry
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