Scale-separated AdS vacua on Riemann-Flat Manifolds

@misc{aparici2026scaleseparated,
  title = {{Scale-separated AdS vacua on Riemann-Flat Manifolds}},
  author = {Miquel Aparici and Ivano Basile and Bruno Valeixo Bento and Miguel Montero},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.27058},
  eprint = {2610.27058},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.27058},
}

TY  - UNPB
TI  - Scale-separated AdS vacua on Riemann-Flat Manifolds
AU  - Miquel Aparici
AU  - Ivano Basile
AU  - Bruno Valeixo Bento
AU  - Miguel Montero
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.27058
UR  - https://arxiv.org/abs/2610.27058
AB  - Supergravity compactifications supported by fluxes and Casimir energy offer a simple strategy to concoct explicit, controlled and isolated vacua with parametric scale separation and soft supersymmetry breaking. Exploiting the special properties of both the Casimir and flux potentials with respect to Laplacian operators in moduli space, we prove that the simplest such class of solutions, given by toroidal compactifications of eleven-dimensional supergravity threaded by any fluxes, always exhibit perturbative instabilities in the form of tachyonic modes below the BF bound. This no-go theorem applies to any toroidal supergravity compactification supported by p-form fluxes. We also study compactifications on more general Riemann-flat manifolds (RFM's). Concretely, we find a tachyon-free AdS_4 vacuum by compactifying M-Theory on a T^7/ℤ_2^3. This constitutes the first ever example of a fully top-down, perturbatively stable, scale-separated AdS without localized sources.
ER  -