Weak $G_2$-manifolds and scale separation in M-theory from type IIA backgrounds
| Autor: | Van Hemelryck, Vincent |
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| Rok vydání: | 2024 |
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| Zdroj: | Phys.Rev.D 110 (2024) 10, 106013 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.110.106013 |
| Popis: | This work provides evidence for the existence of supersymmetric and scale-separated AdS$_4$ vacua in M-theory of the Freund-Rubin type. The internal space has weak $G_2$-holonomy, which is obtained from the lift of AdS vacua in massless type IIA on a specific SU(3)-structure with O6-planes. Such lifts require a local treatment of the O6-planes, therefore going beyond the usual smeared approximation. The setup is analysed by solving the pure spinor equations and the Bianchi identities perturbatively in a small backreaction parameter, preserving supersymmetry manifestly and therefore extending on previous work. This approach is applicable to lifts of other type IIA vacua on half-flat SU(3)-structures, including those with D6-brane sources. The resulting 7d manifold presented here exhibits singularities originating from the O6-planes loci in type IIA theory. Additionally, scale separation in M-theory arises from a decoupling between the Ricci curvature and the first eigenvalue of the Laplacian of the proposed 7d manifold, thereby challenging certain conjectures in the swampland program. Comment: 22 pages + appendices; v2: Minor changes, accepted version in PRD |
| Databáze: | arXiv |
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