Abstract
We compute the Kaluza-Klein spectrum of the non-supersymmetric SO(3) × SO(3)-invariant AdS4 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 AdS4 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 AdS4 vacua.
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Malek, E., Nicolai, H. & Samtleben, H. Tachyonic Kaluza-Klein modes and the AdS swampland conjecture. J. High Energ. Phys. 2020, 159 (2020). https://doi.org/10.1007/JHEP08(2020)159
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DOI: https://doi.org/10.1007/JHEP08(2020)159