Tachyonic de Sitter solutions of 10d type II supergravities

Abstract

Cosmological models of the early or late universe exhibit (quasi) de Sitter space-times with different stability properties. Considering models derived from string theory, the swampland program does not provide for now a definite characterisation of this stability. In this work we focus on de Sitter solutions of 10d type II supergravities, candidates for classical de Sitter string backgrounds: surprisingly, all known examples are unstable with ${\eta }_V<-1$. We aim at proving the existence of such a systematic tachyon, and getting formally a bound on the value of ${\eta }_V$. To that end, we develop three methods, giving us various sufficient conditions for having a tachyon upon assumptions, in analogy with de Sitter no-go theorems. Our analysis eventually indicates the existence of variety of different tachyons, and related bounds on ${\eta }_V$. We use this knowledge to find 10 new de Sitter solutions of type IIB supergravity, that have tachyons of a different kind, higher ${\eta }_V$ values and new 6d geometries. One solution even appears to be stable, with however non-compact extra dimensions.

v2: 31 pages + appendices; few additions, including references and 5 figures. A Mathematica Notebook is provided here as an ancillary file with all solutions of this paper arXiv:2101.06251, as well as those of arXiv:2005.12930

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• Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
• (In)stability of de Sitter vacuum in light of distance conjecture and emergence proposal
• Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation
• Bianchi IX geometry and the Einstein-Maxwell theory
• Goldstino condensation at large N
• Metastable vacua from torsion and machine learning
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