
arXiv: 2005.07713
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 $$ \mathcal{N} $$ 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.
High Energy Physics - Theory, Superstring Vacua, supersymmetry breaking, FOS: Physical sciences, QC770-798, General Relativity and Quantum Cosmology (gr-qc), supergravity: 8, Supergravity, General Relativity and Quantum Cosmology, SO(3) x SO(3), tachyon, supergravity models, Flux compactifications, Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, moduli, Kaluza-Klein model, AdS(4), Supersymmetry Breaking, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Symmetry breaking in quantum theory, stability, vacuum state: anti-de Sitter, dimension: 11, High Energy Physics - Theory (hep-th), superstring vacua, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], flux compactifications, Supergravity Models
High Energy Physics - Theory, Superstring Vacua, supersymmetry breaking, FOS: Physical sciences, QC770-798, General Relativity and Quantum Cosmology (gr-qc), supergravity: 8, Supergravity, General Relativity and Quantum Cosmology, SO(3) x SO(3), tachyon, supergravity models, Flux compactifications, Nuclear and particle physics. Atomic energy. Radioactivity, Supersymmetric field theories in quantum mechanics, Kaluza-Klein and other higher-dimensional theories, moduli, Kaluza-Klein model, AdS(4), Supersymmetry Breaking, [PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Symmetry breaking in quantum theory, stability, vacuum state: anti-de Sitter, dimension: 11, High Energy Physics - Theory (hep-th), superstring vacua, [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], flux compactifications, Supergravity Models
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