Symplectic half-flat solvmanifolds

We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA.

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Bibliographic Details
Published in:Annals of global analysis and geometry 2013-04, Vol.43 (4), p.367-383
Main Authors: Fernández, M., Manero, V., Otal, A., Ugarte, L.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Classification
Differential Geometry
Geometry
Global Analysis and Analysis on Manifolds
Invariants
Lattices
Lie groups
Mathematical analysis
Mathematical models
Mathematical Physics
Mathematics
Mathematics and Statistics
Quotients
Studies
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Description
Summary:We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-012-9349-6