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 F2 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.
Highlights
For that we first use the observation of Kachru and McGreevy [11] that compact G2 spaces obtained from desingularising certain orbifolds of T7 have a simple IIA dual description in terms of IIA Calabi-Yau (CY) orientifolds
In this paper we have argued that a class of supersymmetric IIA flux compactifications to 4d N = 1 Minkowski vacua are in one-to-one correspondence with compactifications of 11-dimensional supergravity on new G2 spaces
The IIA flux compactifications for which this works are constrained by demanding that the only sources are O6 planes and D6 branes and the only fluxes are RR F2 fluxes
Summary
Since the IIA flux vacua of concern feature O6/D6 sources, a non-constant dilaton, and F2 flux they lift to pure geometry in 11d. In the case of vanishing two-form flux, each O6-plane comes with two D6-branes that cancel its charge The uplift of this setup to the sevendimensional manifold in M-theory naturally corresponds to a (R3 × S1)/Z2 singularity, whose appearance suggests non-Abelian gauge theories. For this construction to be consistent, we have to ensure that gluing in such a double cover of Atiyah-Hitchin space is consistent with the non-trivial SU(3) structure obeying (2.7) Note that this construction of G2 spaces is closely related to the construction obtained by lifting Calabi-Yau orientifolds in which the 7-dimensional manifold has a covering space that corresponds to a direct product of a circle with the Calabi-Yau 3-fold. It turns out that with a non-trivial twist of the circle a G2 space can still be defined on the condition that the SU(3) holonomy gets relaxed into a more general SU(3) structure
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