A note on O6 intersections in AdS flux vacua
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909076182532096 |
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| author | Junghans, Daniel |
| author_facet | Junghans, Daniel |
| contents | 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 $T^6/\mathbb{Z}_3$ orbifold yields a single O6-plane which wraps a smooth submanifold without any (self-)intersections. On the other hand, blowing up the $T^6/\mathbb{Z}_3^2$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17695 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on O6 intersections in AdS flux vacua Junghans, Daniel High Energy Physics - Theory 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 $T^6/\mathbb{Z}_3$ orbifold yields a single O6-plane which wraps a smooth submanifold without any (self-)intersections. On the other hand, blowing up the $T^6/\mathbb{Z}_3^2$ 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. |
| title | A note on O6 intersections in AdS flux vacua |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.17695 |