On classical de Sitter solutions in higher dimensions
High Energy Physics - Theory
2015-06-03 v2
Abstract
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.
Cite
@article{arxiv.1111.3154,
title = {On classical de Sitter solutions in higher dimensions},
author = {Thomas Van Riet},
journal= {arXiv preprint arXiv:1111.3154},
year = {2015}
}
Comments
17 pages with references; few errors in equations corrected + references updated