Tachyonic Kaluza-Klein modes and the AdS swampland conjecture

Abstract

We compute the Kaluza-Klein spectrum of the non-supersymmetric SO(3)$\times$SO(3)-invariant AdS${}_4$ vacuum of 11-dimensional supergravity, whose lowest-lying Kaluza-Klein modes belong to a consistent truncation to 4-dimensional $\mathcal{N}=8$ supergravity and are stable. We show that, nonetheless, the higher Kaluza-Klein modes become tachyonic so that this non-supersymmetric AdS${}_4$ vacuum is perturbatively unstable within 11-dimensional supergravity. This represents the first example of unstable higher Kaluza-Klein modes and provides further evidence for the AdS swampland conjecture, which states that there are no stable non-supersymmetric AdS vacua within string theory. We also find 27 infinitesimal moduli amongst the Kaluza-Klein modes, which hints at the existence of a family of non-supersymmetric AdS${}_4$ vacua.

arXiv comment22 pages; v2 published version with minor changes

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• Kaluza-Klein Spectrometry beyond Consistent Truncations: The Squashed $S^7$
• Leaps and bounds towards scale separation
• The higher-dimensional origin of five-dimensional $\mathcal{N}=2$ gauged supergravities
• Oh, wait, O8 de Sitter may be unstable!
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Encoded information of mixed correlations: the views from one dimension higher
• On the stability of $AdS$ backgrounds with $\lambda$-deformed factors
• On the Superconformal Index of Chern-Simons theories and their KK Spectrometry
• Non-supersymmetric AdS${}_6$ and the swampland
• $\mathcal{N}=1$ S-fold spectroscopy