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Tachyonic Kaluza-Klein modes and the AdS swampland conjecture

MPG-Autoren
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Malek,  Emanuel
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Zitation

Malek, E., Nicolai, H., & Samtleben, H. (2020). Tachyonic Kaluza-Klein modes and the AdS swampland conjecture. Journal of High Energy Physics, 2020(8): 159. doi:10.1007/JHEP08(2020)159.


Zitierlink: https://hdl.handle.net/21.11116/0000-0006-7C2F-C
Zusammenfassung
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 moduli amongst the Kaluza-Klein modes,
which hints at the existence of a family of non-supersymmetric AdS$_4$ vacua.