Quaternion-Kahler spaces, hyperkahler cones, and the c-map
arXiv:math/0603048
Abstract
Under the action of the c-map, special Kahler manifolds are mapped into a class of quaternion-Kahler spaces. We explicitly construct the corresponding Swann bundle or hyperkahler cone, and determine the hyperkahler potential in terms of the prepotential of the special Kahler geometry.
12 pages, Submitted to the "Handbook of pseudo-Riemannian geometry and supersymmetry", IRMA Lectures in Mathematical Physics; references and typos corrected; published version
References in corpus (9)
- Black Hole Attractors and the Topological String
- Symmetry structure of special geometries
- Hartle-Hawking Wave-Function for Flux Compactifications
- String loop corrected hypermultiplet moduli spaces
- Hypermultiplets and Topological Strings
- Special geometry of Euclidean supersymmetry II: hypermultiplets and the c-map
- Quantum Corrections to the Universal Hypermultiplet and Superspace
- The map between conformal hypercomplex/hyper-Kaehler and quaternionic(-Kaehler) geometry
- Special Kaehler manifolds: a survey
Cited by in corpus (9)
- Twistors and Black Holes
- Different representations for the action principle in 4D N = 2 supergravity
- N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
- Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
- Computing the Scalar Field Couplings in 6D Supergravity
- The off-shell c-map
- Modularity, Quaternion-Kahler spaces and Mirror Symmetry
- Calabi-Yau compactification of type II string theories
- Quaternionic Kahler spaces with large toric symmetry