Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-03
Phys.Rev.D76:124003,2007
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, 3 figures, REVTeX4;version accepted for publication in PRD
Scientific paper
10.1103/PhysRevD.76.124003
We found a new branch of solutions in Freund-Rubin type flux compactifications. The geometry of these solutions is described as the external space which has a de Sitter symmetry and the internal space which is topologically spherical. However, it is not a simple form of dS_p x S^q but a warped product of de Sitter space and a deformed sphere. We explicitly constructed numerical solutions for a specific case with p=4 and q=4. We show that the new branch of solutions emanates from the marginally stable solution in the branch of dS_4 x S^4 solutions.
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