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arXiv · 2101.06251

Tachyonic de Sitter solutions of 10d type II supergravities

David Andriot
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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 $η_V < -1$. We aim at proving the existence of such a systematic tachyon, and getting formally a bound on the value of $η_V$. 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 $η_V$. We use this knowledge to find 10 new de Sitter solutions of type IIB supergravity, that have tachyons of a different kind, higher $η_V$ values and new 6d geometries. One solution even appears to be stable, with however non-compact extra dimensions.

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David Andriot. 2021-05-06. Tachyonic de Sitter solutions of 10d type II supergravities. https://doi.org/10.1002/prop.202100063

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