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

Abstract

We construct globally-defined $SU(3)$ structures on smooth compact toric varieties (SCTV) in the class of ${\mathbb{CP}}^1$ 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.

35 pages

References in corpus (3)

• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• New supersymmetric AdS4 type II vacua
• N=2 solutions of massive type IIA and their Chern-Simons duals