Compactifying de Sitter Naturally Selects a Small Cosmological Constant

preprint2014arXivOpen access

Abstract

We study compactifications of DD-dimensional de Sitter space with a qq-form flux down to D−NqD-Nq dimensions. We show that for (N−1)(q−1)≥2(N-1)(q-1)\geq 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 Λ≪1Λ\ll 1 de Sitters arises by a mechanism analogous to natural selection.

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