No-scale and scale-separated flux vacua from IIA on G2 orientifolds

Abstract

We discuss flux compactifications of IIA string theory on G2 holonomy spaces with O2/O6-planes to three dimensions and find two classes of solutions: 1) No-scale Minkowski vacua from NSNS 3-form fluxes and RR 4-form fluxes. 2) By adding Romans mass we find AdS${}_3$ vacua for which the AdS scale can be decoupled completely from the KK scale while the solution is at tunable weak coupling and large volume. For the AdS${}_3$ vacuum we only have a proper 3D description (i.e. smeared orientifold description) of the solution like the 4D analogue of IIA moduli stabilization from fluxes and O6-planes. This 3D description reveals that moduli with non-compact moduli spaces can be stabilized at the classical level. For both types of vacua we can have supersymmetry or not.

42 pages, v2, corrected few typos

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• Flux Compactification
• Physics of String Flux Compactifications
• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Smeared versus localised sources in flux compactifications
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• Two-form supergravity, superstring couplings, and Goldstino superfields in three dimensions