Year: 2026
Type: preprint
Abstract: 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 $T^7/\mathbb{Z}_2^3$. This constitutes the first ever example of a fully top-down, perturbatively stable, scale-separated AdS without localized sources.
Source: arXiv (Cornell University)
Institutions: Consejo Superior de Investigaciones Científicas, Instituto de Física Teórica, Universidad Autónoma de Madrid, Harvard University, Istituto Nazionale di Fisica Nucleare, Sezione di Torino, Centre National de la Recherche Scientifique, Laboratoire d'Annecy de Physique Théorique, Université Savoie Mont Blanc, European Organization for Nuclear Research
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223152328