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Then

N. Bobev, N. Halmagyi, K. Pilch, and N. P. Warner, Supergravity Instabilities of Non-Supersymmetric Quantum Critical Points
Original
2010
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2010
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N. Bobev, A. Kundu, K. Pilch, and N. P. Warner, Minimal Holographic Superconductors from Maximal Supergravity
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G. Dall’Agata and G. Inverso, On the Vacua of N = 8 Gauged Supergravity in 4 Dimensions
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2020

Tachyonic Kaluza-Klein modes and the AdS swampland conjecture

Malek, Emanuel, Nicolai, Hermann, Samtleben, Henning

Understand

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 ${\cal N}=8$ 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.