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

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.

v1: 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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Cited by in corpus (4)

• (Quasi-) de Sitter solutions across dimensions and the TCC bound
• Universal accelerating cosmologies from 10d supergravity
• Charting the landscape of (anti-) de Sitter and Minkowski solutions of 10d supergravities
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture