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Scale-separated AdS₃ vacua from G₂-orientifolds using bispinors

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arxiv 2207.14311 v2 pith:IQWFUTC3 submitted 2022-07-28 hep-th

Scale-separated AdS₃ vacua from G₂-orientifolds using bispinors

classification hep-th
keywords typebispinorsolutionsorientifoldssuperpotentialvacuaadmitargument
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Scale-separated vacua with extended supersymmetry

    hep-th 2026-04 unverdicted novelty 8.0

    First examples of scale-separated vacua with extended supersymmetry are constructed as circle compactifications of 4D massive IIA solutions with additional fluxes and sources.

  2. $\mathcal{N}=1$ spectra, cubic couplings and the rigid fate of DGKT

    hep-th 2026-07 unverdicted novelty 7.0

    DGKT vacua satisfy the holographic cubic coupling constraint if and only if the Calabi-Yau threefold is rigid (h^{2,1}=0).

  3. $G_2$ flux compactifications

    hep-th 2026-05 unverdicted novelty 6.0

    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.

  4. Broken and restored: a holographic constraint for AdS vacua with orbifolds

    hep-th 2026-05 unverdicted novelty 5.0

    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.