Compactifying de Sitter Naturally Selects a Small Cosmological Constant

Abstract

We study compactifications of $D$-dimensional de Sitter space with a $q$-form flux down to $D-Nq$ dimensions. We show that for $(N-1)(q-1)\ge 2$ there are double-exponentially or even infinitely many compact de Sitter vacua, and that their effective cosmological constants accumulate at zero. This population explosion of $\Lambda \ll 1$ de Sitters arises by a mechanism analogous to natural selection.

11 pages, 5 figures

References in corpus (6)

• Flux Compactification
• de Sitter Space in Non-Critical String Theory
• Stability and Spectrum of Compactifications on Product Manifolds
• Statistical Distribution of the Vacuum Energy Density in Racetrack Kähler Uplift Models in String Theory
• Flux Compactifications on $(S_2{)}^N$
• Preferred hierarchy scales from the product landscape

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• Inhomogeneous compact extra dimensions and de Sitter cosmology
• Flux Compactifications on $(S_2{)}^N$
• Dark Horse, Dark Matter: Revisiting the SO(16)x SO(16)' Nonsupersymmetric Model in the LHC and Dark Energy Era
• Can Compactifications Solve the Cosmological Constant Problem?
• Flexible extra dimensions
• Spontaneous branes formation
• Nonlinear dynamics of flux compactification
• Formation and evolution of a 2-brane structure in multidimensional $f(R)$ gravity
• Quantum Computing for Inflationary, Dark Energy and Dark Matter Cosmology