Expanding Universe and Dynamical Compactification Using Yang-Mills Instantons

Abstract

We consider an eight-dimensional Einstein-Yang-Mills theory to explore whether Yang-Mills instantons formed in extra dimensions can induce the dynamical instability of our four-dimensional spacetime. We show that the Yang-Mills instantons in extra dimensions can trigger the expansion of our universe in four-dimensional spacetime as well as the dynamical compactification of extra dimensions. We also discuss a possibility to realize a reheating mechanism via the quantum back-reaction from the contracting tiny internal space with a smeared instanton.

v3; 26 pages, 6 figures, version to be published in JHEP

References in corpus (7)

• On the Geometry of the String Landscape and the Swampland
• Distance and de Sitter Conjectures on the Swampland
• String Cosmology: A Review
• Inflationary Constraints on Type IIA String Theory
• On Classical de Sitter Vacua in String Theory
• Moduli Stabilisation and Applications in IIB String Theory
• Conceptual Problems of Inflationary Cosmology and a New Approach to Cosmological Structure Formation

Cited by in corpus (8)

• Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
• Multi-field Inflation in High-Slope Potentials
• On the structure of the emergent 3d expanding space in the Lorentzian type IIB matrix model
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• Dynamical Compactification with Matter
• Anatomy of Einstein Manifolds
• Generalization of Instanton-Induced Inflation and Dynamical Compactification
• Explicit Construction of Hermitian Yang-Mills Instantons on Coset Manifolds