Compactifying de Sitter space naturally selects a small cosmological constant
Compactifying de Sitter space naturally selects a small cosmological constant
We study compactifications of $D$-dimensional de Sitter space with a $q$-form flux down to $D\ensuremath{-}Nq$ dimensions. We show that for $(N\ensuremath{-}1)(q\ensuremath{-}1)\ensuremath{\ge}2$ 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 $\mathrm{\ensuremath{\Lambda}}\ensuremath{\ll}1$ de Sitters arises by …