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Weak G₂-manifolds and scale separation in M-theory from type IIA backgrounds
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Weak G₂-manifolds and scale separation in M-theory from type IIA backgrounds
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This work provides evidence for the existence of supersymmetric and scale-separated AdS$_4$ vacua in M-theory of the Freund-Rubin type. The internal space has weak $G_2$-holonomy, which is obtained from the lift of AdS vacua in massless type IIA on a specific SU(3)-structure with O6-planes. Such lifts require a local treatment of the O6-planes, therefore going beyond the usual smeared approximation. The setup is analysed by solving the pure spinor equations and the Bianchi identities perturbatively in a small backreaction parameter, preserving supersymmetry manifestly and therefore extending on previous work. This approach is applicable to lifts of other type IIA vacua on half-flat SU(3)-structures, including those with D6-brane sources. The resulting 7d manifold presented here exhibits singularities originating from the O6-planes loci in type IIA theory. Additionally, scale separation in M-theory arises from a decoupling between the Ricci curvature and the first eigenvalue of the Laplacian of the proposed 7d manifold, thereby challenging certain conjectures in the swampland program.
Forward citations
Cited by 5 Pith papers
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Scale-separated vacua with extended supersymmetry
First examples of scale-separated vacua with extended supersymmetry are constructed as circle compactifications of 4D massive IIA solutions with additional fluxes and sources.
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$G_2$ flux compactifications
Compactifications of the five 10D string theories on generic G2-structure 7-manifolds produce unified 3D N=1 effective theories with full scalar potentials, kinetic terms, and flux data organized via real superpotentials.
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Broken and restored: a holographic constraint for AdS vacua with orbifolds
Holographic constraint on AdS vacua is violated for Z2 orbifolds but restored by non-abelian extensions, implying O-planes cannot wrap cycles in distinct homology classes.
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Instabilities in scale-separated Casimir vacua
Casimir-stabilized AdS vacua with parametric scale separation in supergravity exhibit perturbative and non-perturbative instabilities under deformations.
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A note on the holographic consistency of DGKT-type vacua with $h^{2,1}=0$
Cancellations that satisfy a holographic three-point function constraint in DGKT vacua persist across examples with h^{2,1}=0 and more complicated triple-intersection numbers.
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