On classical de Sitter solutions in higher dimensions

Details On classical de Sitter solutions in higher dimensions On classical de Sitter solutions in higher dimensions

2011-11-14

arxiv.org/abs/1111.3154v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages with references; few errors in equations corrected + references updated

Scientific paper

We derive necessary criteria for the existence of classical, meta-stable, de Sitter solutions in flux compactifications of type II supergravity down to dimensions higher than four. We find that the possibilities in higher dimensions are much more restricted than in four dimensions. The only models that satisfy the criteria are derived from O6 compactifications to D=5,6 and O5 compactifications to D=5 and no meta-stable solutions can exist in dimensions higher than six. All these models have in common that the compact dimensions are negatively curved.

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