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arXiv 1111.3154hep-th
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关于高维经典de Sitter解

On classical de Sitter solutions in higher dimensions

Thomas Van Riet

摘要:

我们推导出必要的标准存在的经典的,亚稳定的,德西特解决方案的II型超重力流紧化下降到高于四个维度。我们发现,在更高维度中的可能性比在四维中受到更多的限制。唯一满足标准的模型是从O6紧化到D= 5,6和O5紧化到D=5导出的,并且在大于6的维度中不存在亚稳态解。所有这些模型都有一个共同点,即紧凑的尺寸是负弯曲的。

英文摘要:

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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