SU(3) structures on S2 bundles over four-manifolds

Abstract

Abstract We construct globally-defined SU(3) structures on smooth compact toric varieties (SCTV) in the class of ℂ ℙ 1 $$ \mathbb{C}{\mathrm{\mathbb{P}}}^1 $$ bundles over M , where M is an arbitrary SCTV of complex dimension two. The construction can be extended to the case where the base is Kähler-Einstein of positive curvature, but not necessarily toric, and admits a parameter space which includes SU(3) structures of LT type.

Keywords

• Differential and Algebraic Geometry
• Flux compactifications
• Superstring Vacua