On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure

Abstract

We show that supersymmetric flux vacua with intermediate SU(2) structure is closely related to some special classes of half-flat structures. More concretely, solutions of the SUSY equations IIA possess a symplectic half-flat structure, whereas solutions of the SUSY equations IIB admit a half-flat structure which is in certain sense near to the balanced condition. Using this result we show that compact simply connected manifolds do not admit type IIB solutions. New solutions of the SUSY equations IIA and IIB are constructed from hyperkähler 4-manifolds, special hypo 5-manifolds and 6-dimensional solvmanifolds.

21 pages; to be published in Classical Quantum Gravity

References in corpus (4)

• Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• Gravity duals to deformed SYM theories and Generalized Complex Geometry
• Generalized Kaehler Potentials from Supergravity