Absence of (0,3) components in localized throat flux from the bulk perspective

Ascertain whether localized 3-form fluxes in warped throat regions of type IIB Calabi–Yau compactifications (e.g., Klebanov–Strassler throats) remain free of a (0,3) component when viewed from the bulk geometry, thereby ensuring that such throat fluxes do not contribute to the Gukov–Vafa–Witten superpotential W0.

Background

The consistency of the warped KKLT setup hinges on the assumption that throat-localized 3-form fluxes do not carry a (0,3) component and therefore do not contribute to W0, allowing bulk fluxes to dominate the superpotential and the AdS scale.

While this is true in the supersymmetric Klebanov–Strassler solution, the authors emphasize that from the bulk viewpoint it is unclear whether localized fluxes universally remain without a (0,3) piece, which would undermine the assumed hierarchy and the interpretation of the domain wall bound.

References

it is not clear (to us) that localized fluxes remain without (0,3)-piece from the bulk point of view.

— A domain wall bound on anti-de Sitter vacua  (2603.08779 - Cribiori et al., 9 Mar 2026) in Section “KKLT models with warped throats”