The map between conformal hypercomplex/hyper-Kähler and quaternionic(-Kähler) geometry

DOI10.1007/s00220-005-1475-6zbMath1105.53038arXivhep-th/0411209OpenAlexW2055062282MaRDI QIDQ852383

Stefan Vandoren, Sorin Cucu, Antoine Van Proeyen, Jos Gheerardyn, Eric A. Bergshoeff, Tim C. de Wit

Publication date: 29 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0411209

zbMATH Keywords

hypermultipletscomplex structurescurvatures\(\xi\)-transformations

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items

Six-dimensional superconformal couplings of non-abelian tensor and hypermultiplets, String loop corrected hypermultiplet moduli spaces, Hyperkähler cones and instantons on quaternionic Kähler manifolds, Linear perturbations of quaternionic metrics, THE IDENTIFICATION OF CONFORMAL HYPERCOMPLEX AND QUATERNIONIC MANIFOLDS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quaternionic structures on a manifold and subordinated structures
• Compact hypercomplex and quaternionic manifolds
• HyperKähler and quaternionic Kähler geometry
• A generalization of the momentum mapping construction for quaternionic Kähler manifolds
• Quaternionic Kaehler manifolds
• Quaternion Kählerian manifolds
• Q-connections and their changes on an almost quaternion manifold
• Hypercomplex structures associated to quaternionic manifolds
• HKT and OKT geometries on soliton black hole moduli spaces
• Consistent and inconsistent truncations. Some results and the issue of the correct uplifting of solutions
• A generalisation of (very) special geometry
• Superconformal sigma models in higher than two dimensions
• Superconformal hypermultiplets
• The geometry of (super) conformal quantum mechanics
• N = 2 supergravity in five dimensions revisited
• Loop algebras and superalgebras based on S 7
• Geometry of the scalar couplings in N=2 supergravity models
• CLASSIFICATION OF QUATERNIONIC SPACES WITH A TRANSITIVE SOLVABLE GROUP OF MOTIONS
• Hypermultiplets and hypercomplex geometry from six to three dimensions
• Differential geometry of quaternionic manifolds
• Supergravity with Fayet‐Iliopoulos terms and R‐symmetry
• A Theorem on Holonomy
• Gauging isometries on hyperkähler cones and quaternion-Kähler manifolds