Compact G2 holonomy spaces from SU(3) structures

Understand

We construct novel classes of compact G2 spaces from lifting type IIA flux backgrounds with O6 planes.

• There exists an extension of IIA Calabi-Yau orientifolds for which some of the D6 branes (required to solve the RR tadpole) are dissolved in $F_2$ fluxes.
• The backreaction of these fluxes deforms the Calabi-Yau manifold into a specific class of SU(3)-structure manifolds.
• The lift to M-theory again defines compact G2 manifolds, which in case of toroidal orbifolds are a twisted generalisation of the Joyce construction.