Abstract
The DGKT-CFI construction of AdS flux vacua in type IIA string theory has interesting features such as classical moduli stabilization and a parametric scale separation between the Hubble scale and the Kaluza-Klein scale. A possible worry regarding the consistency of these vacua is that pathologies could arise due to intersections of the O6-planes, which are not well understood in the 10D solution. In this note, we show in explicit examples that such intersections are absent if one compactifies on smooth Calabi-Yau manifolds instead of toroidal orbifolds. In particular, we show that the blow-up of the T6/ℤ3 orbifold yields a single O6-plane which wraps a smooth submanifold without any (self-)intersections. On the other hand, blowing up the T6/\( {\mathbb{Z}}_3^2 \) orbifold seems to yield an O6-plane which self-intersects. However, we show that this is due to an inconsistent orientifold involution in the original DGKT model. Imposing a consistent involution again yields a single smooth O6-plane without self-intersections on the blown-up manifold.
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Acknowledgments
I would like to thank Miguel Montero for a helpful correspondence. This research was funded by the Austrian Science Fund (FWF) under project number P 34562-N.
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Junghans, D. A note on O6 intersections in AdS flux vacua. J. High Energ. Phys. 2024, 126 (2024). https://doi.org/10.1007/JHEP02(2024)126
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DOI: https://doi.org/10.1007/JHEP02(2024)126