Flux compactification on smooth, compact three-dimensional toric varieties

Understand

Three-dimensional smooth, compact toric varieties (SCTV), when viewed as real six-dimensional manifolds, can admit G-structures rendering them suitable for internal manifolds in supersymmetric flux compactifications.

• We develop techniques which allow us to systematically construct G-structures on SCTV and read off their torsion classes.
• We illustrate our methods with explicit examples, one of which consists of an infinite class of toric CP^1 bundles.
• We give a self-contained review of the relevant concepts from toric geometry, in particular the subject of the classification of SCTV in dimensions less or equal to 3.