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Scale-separated AdS$_3$ vacua from $G_2$-orientifolds using bispinors
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abstract
In this paper, minimal supersymmetric AdS$_3$ solutions on $G_2$-orientifolds of type IIA and IIB supergravity are studied. These are obtained by techniques of the bispinor formalism. A straightforward argument is derived against AdS$_3$ solutions in massless type IIA string theory on such $G_2$-backgrounds. Furthermore, it is shown that some of the AdS$_3$ solutions in massive type IIA do admit a separation of scales, whereas the same cannot be said for the type IIB vacua. Finally, a formula for the 3d superpotential in the bispinor language is given that is valid for both type IIA and type IIB configurations. It is shown that the supersymmetry conditions of this superpotential lead back to the bispinor equations.
Forward citations
Cited by 3 Pith papers
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Warped G$_2$-throats in IIA and uplift dSillusions
Anti-D2 brane uplifting of classical AdS3 vacua in IIA on G2 orientifolds is forbidden by O6 tadpole constraints, so dS3 must rely on quantum corrections to no-scale Minkowski vacua.
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Integer dual dimensions in scale-separated AdS$_3$ from massive IIA
Massive IIA flux compactifications on singular and Joyce G2 orbifolds yield scale-separated AdS3 vacua whose dual operator dimensions are integer up to parametrically small corrections.
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Warped G2 throats from deformed conifolds in IIA supergravity
New non-singular IIA solutions with internal space (deformed conifold × S1)/Z2 provide warped G2 throats with finite 4-cycle or 3-cycle at the tip.
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