Abstract
We study 4d membranes in type IIA flux compactifications of the form AdS4 × X6, where X6 admits a Calabi-Yau metric. These models feature scale separation and D6-branes/O6-planes on three-cycles of X6. When the latter are treated as localised sources, explicit solutions to the 10d equations of motion and Bianchi identities are known in 4d \( \mathcal{N} \) = 1 settings, valid at first order in an expansion parameter related to the AdS4 cosmological constant. We extend such solutions to a family of perturbatively stable \( \mathcal{N} \) = 0 vacua, and analyse their non-perturbative stability by looking at 4d membranes. Up to the accuracy of the solution, we find that either D4-branes or anti-D4-branes on holomorphic curves feel no force in both \( \mathcal{N} \) = 1 and \( \mathcal{N} \) = 0 AdS4. Differently, D8-branes wrapping X6 and with D6-branes ending on them can be superextremal 4d membranes attracted towards the \( \mathcal{N} \) = 0 AdS4 boundary. The sources of imbalance are the curvature of X6 and the D8/D6 BIon profile, with both comparable terms as can be checked for X6 a (blown-up) toroidal orbifold. We then show that simple \( \mathcal{N} \) = 0 vacua with space-time filling D6-branes are unstable against bubble nucleation, decaying to \( \mathcal{N} \) = 0 vacua with less D6-branes and larger Romans mass.
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Marchesano, F., Prieto, D. & Quirant, J. BIonic membranes and AdS instabilities. J. High Energ. Phys. 2022, 118 (2022). https://doi.org/10.1007/JHEP07(2022)118
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DOI: https://doi.org/10.1007/JHEP07(2022)118