Stable non-supersymmetric Anti-de Sitter vacua of massive IIA supergravity

Abstract

Stable non-supersymmetric Anti-de Sitter (AdS) vacua of string theory are widely believed not to exist. In this letter, we analytically compute the full bosonic Kaluza-Klein spectrum around the ${\mathrm{G}}_2$-invariant non-supersymmetric ${\text{AdS}}_4$ solution of massive IIA supergravity, and show that it is perturbatively stable. We also provide evidence that six other non-supersymmetric ${\text{AdS}}_4$ solutions of massive IIA supergravity are perturbatively stable. Since previous studies have indicated that these AdS vacua may also be non-perturbatively stable, our findings pose a challenge to the Swampland Conjecture.

arXiv comment6 pages, 1 figure; v2: published version, minor changes, references added

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