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arXiv · 1811.00063

Compact G2 holonomy spaces from SU(3) structures

Stefano Andriolo·Gary Shiu·Hagen Triendl·Thomas Van Riet·Victoria Venken·Gianluca Zoccarato
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Abstract

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. This observation also allows a clear identification of the moduli space of a warped compactification with fluxes. We provide a few explicit examples, of which some can be constructed from T-dualising known IIB orientifolds with fluxes. Finally we discuss supersymmetry breaking in this context and suggest that the purely geometric picture in M-theory could provide a simpler setting to address some of the consistency issues of moduli stabilisation and de Sitter uplifting.

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Stefano Andriolo, Gary Shiu, Hagen Triendl, Thomas Van Riet, Victoria Venken, Gianluca Zoccarato. 2018-10-31. Compact G2 holonomy spaces from SU(3) structures. https://doi.org/10.1007/jhep03(2019)059

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