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. 
Marisa Fern\'andez, V\'ictor Manero, Antonio Otal, Luis Ugarte
math.DG