Symplectic half-flat solvmanifolds

Abstract

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.

16 pages; presentation improved, one reference added and typos corrected; to appear in Ann. Global Anal. Geom

References in corpus (2)

• Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
• Half-flat structures on indecomposable Lie groups

Cited by in corpus (1)

• Lattices, cohomology and models of six dimensional almost abelian solvmanifolds