New Kaluza-Klein Instantons and Decay of AdS Vacua

Abstract

We construct a generalization of Witten's Kaluza-Klein instanton, where a higher-dimensional sphere (rather than a circle as in Witten's instanton) collapses to zero size and the geometry terminates at a bubble of nothing, in a low energy effective theory of M theory. We use the solution to exhibit instability of non-supersymmetric AdS_5 vacua in M Theory compactified on positive Kaehler-Einstein spaces, providing a further evidence for the recent conjecture that any non-supersymmetric anti-de Sitter vacuum supported by fluxes must be unstable.

16 pages, 2 figures. v2: reference added

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• de Sitter Cosmology on an expanding bubble
• Holographic Evidence for Non-Supersymmetric Conformal Manifolds
• The Fundamental Need for a SM Higgs and the Weak Gravity Conjecture
• AdS${}_2$ Type-IIA Solutions and Scale Separation
• Dynamical Cobordism and the Beginning of Time: Supercritical Strings and Tachyon Condensation
• Nothing really matters
• Tachyonic Kaluza-Klein modes and the AdS swampland conjecture
• AdS-phobia, the WGC, the Standard Model and Supersymmetry
• Brane-Jet Instabilities
• Supersymmetry Breaking Warped Throats and the Weak Gravity Conjecture
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• On the Stability of String Theory Vacua
• The non-SUSY $Ad{S}_6$ and $Ad{S}_7$ fixed points are brane-jet unstable
• Relative scale separation in orbifolds of $S^2$ and $S^5$
• Neutralizing Topological Obstructions to Bubbles of Nothing
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Generalized surface tension bounds in vacuum decay
• Morse-Bott inequalities, Topology Change and Cobordisms to Nothing
• Partition functions on squashed seven-spheres and holography
• At the End of the World: Local Dynamical Cobordism
• Bubble instability of mIIA on ${\mathrm{AdS}}_4\times S^6$
• Decomposable $(5,6)$-solutions in eleven-dimensional supergravity
• On the stability of non-supersymmetric supergravity solutions