Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
arXiv:2204.05327 · doi:10.1007/JHEP08(2022)109
Abstract
We classified in arXiv:2201.04152 certain 10d supergravity solutions with a 4d de Sitter, Minkowski or anti-de Sitter spacetime. We then found new solutions in previously unexplored classes. In this paper we study their properties, compare them to swampland conjectures, and make new observations. Using new numerical tools, we first identify all Lie algebras underlying the 6d group manifolds, allowing us to discuss their compactness. We then investigate scale separation, and prove related no-go theorems. Last but not least, we automatize and analyze the stability of all solutions. This leads us to propose the Massless Minkowski Conjecture, claiming the systematic presence of a 4d massless scalar field.
arXiv commentv1: 30 pages + appendices. The numerical codes AlgId, AlgIso and MaxSymSolSpec developed are provided here as ancillary files; v2: minor modifications, published version; v3: clarification on the Massless Minkowski Conjecture
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