The generalised complex geometry of \((p,q)\) Hermitian geometries

DOI10.1007/s00220-019-03488-3zbMath1440.53093arXiv1810.06489OpenAlexW3101524777WikidataQ127620048 ScholiaQ127620048MaRDI QIDQ1986579

Ulf Lindström, Christopher Hull

Publication date: 8 April 2020

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

Full work available at URL: https://arxiv.org/abs/1810.06489

zbMATH Keywords

\((p,q)\)-generalised complex geometry\((p,q)\)-Hermitian Geometryhalf generalised complex structuresstrong Kähler with torsion

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Complex manifolds (32Q99) Generalized geometries (à la Hitchin) (53D18)

Related Items

Heterotic backgrounds via generalised geometry: moment maps and moduli, Conformal \((p, q)\) supergeometries in two dimensions, Induced polynomial structures on generalized geometry, On \(\mathbf{C} \otimes \mathbf{H} \otimes \mathbf{O}\)-valued gravity, sedenions, Hermitian matrix geometry and nonsymmetric Kaluza-Klein theory, T-duality in $(2,1)$ superspace, Complex Dirac structures: invariants and local structure

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized complex geometry
• Generalized Kähler geometry from supersymmetric sigma models
• Generalized Kähler manifolds and off-shell supersymmetry
• Twistor spaces for hyper-Kähler manifolds with torsion
• All (4,1): Sigma models with \((4, q)\) off-shell supersymmetry
• All (4,0): sigma models with (4,0) off-shell supersymmetry
• Hodge theory of SKT manifolds
• Morita equivalence and the generalized Kähler potential
• Reduction of metric structures on courant algebroids
• Generalized Calabi-Yau Manifolds