Transdimensional Tunneling in the Multiverse

Abstract

Topology-changing transitions between vacua of different effective dimensionality are studied in the context of a 6-dimensional Einstein-Maxwell theory. The landscape of this theory includes a $6d$ de Sitter vacuum ($d{S}_6$), a number of $d{S}_4\times S_2$ and $Ad{S}_4\times S_2$ vacua, and a number of $Ad{S}_2\times S_4$ vacua. We find that compactification transitions $d{S}_6\to Ad{S}_2\times S_4$ occur through the nucleation of electrically charged black hole pairs, and transitions from $d{S}_6$ to $d{S}_4\times S_2$ and $Ad{S}_4\times S_2$ occur through the nucleation of magnetically charged spherical black branes. We identify the appropriate instantons and describe the spacetime structure resulting from brane nucleation.

32 pages, 15 figures New references added

References in corpus (5)

• Flux Compactification
• The Anthropic Landscape of String Theory
• Quantum Tunneling in Flux Compactifications
• Dynamical compactification from de Sitter space
• Enhanced Instability of de Sitter Space in Einstein-Gauss-Bonnet Gravity

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• Accidental Inflation in the Landscape
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• Oscillating instanton solutions in curved space
• Standard Model Vacua for Two-dimensional Compactifications
• An anisotropic universe due to dimension-changing vacuum decay
• Bubbles from Nothing
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• Finite Temperature Structure of the Compactified Standard Model
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• Effects on the CMB from Compactification Before Inflation
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• Flux Compactifications Grow Lumps
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• Breathing Vacuum Bubbles in Five-Dimensional Gauss-Bonnet Gravity
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