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We classified in arXiv:2201.04152 certain 10d supergravity solutions with a4d de Sitter, Minkowski or anti-de Sitter spacetime. We then found newsolutions in previously unexplored classes. In this paper we study theirproperties, compare them to swampland conjectures, and make new observations.  Using new numerical tools, we first identify all Lie algebras underlying the6d group manifolds, allowing us to discuss their compactness. We theninvestigate scale separation, and prove related no-go theorems. Last but notleast, we automatize and analyze the stability of all solutions. This leads usto propose the Massless Minkowski Conjecture, claiming the systematic presenceof a 4d massless scalar field.

Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation