Quantum gravity constraints on scale separation and de Sitter in five dimensions

Abstract

We give evidence that supersymmetric anti-de Sitter vacua of five-dimensional supergravity cannot be scale separated as a consequence of quantum gravity constraints, such as the weak gravity conjecture or the species scale. We show this in a model-independent way for the minimal and the maximal theory and we believe that the argument can be extended to any amount of preserved supercharges in the between. If combined with previous works stating that non-supersymmetric anti-de Sitter vacua must be unstable, our results suggest that no genuinely five-dimensional effective theory in anti-de Sitter exists. At the cost of introducing an additional assumption on the gravitino mass, we can extend our analysis to de Sitter vacua as well. However, the few known stable de Sitter vacua of minimal five-dimensional supergravity do not satisfy such an assumption and thus evade our constraints. This suggest that they are on a somehow different footing than their four-dimensional counterparts and therefore deserve further investigation.

28 pages + appendix; v2: typos corrected, references added, published version

References in corpus (13)

• The Swampland: Introduction and Review
• The String Landscape and the Swampland
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• A supersymmetric consistent truncation for conifold solutions
• O-plane Backreaction and Scale Separation in Type IIA Flux Vacua
• Supersymmetric Consistent Truncations of IIB on T(1,1)
• No-scale and scale-separated flux vacua from IIA on G2 orientifolds
• Weak gravity conjecture in the asymptotical dS and AdS background
• Weak gravity versus de Sitter
• The unbearable lightness of charged gravitini
• Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions
• Old and new vacua of 5D maximal supergravity
• On Upper Bounds in Dimension Gaps of CFT's