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arXiv 0907.2041hep-th
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弦论中的经典de Sitter解

Towards Classical de Sitter Solutions in String Theory

Ulf H. Danielsson, Sheikh Shajidul Haque, Gary Shiu, Thomas Van Riet

摘要:

我们调查的第二类字符串有效潜力在树的水平,并得出必要的成分有德西特解决方案的orientifold模型通量。此外,我们研究了在方向折叠源被涂抹的极限下,具有SU(3)-结构的流形上IIA超引力中的一些显式O 6紧化。特别是,我们使用一个简单的10维Anglomerator四维德西特解决方案,并找到明确的标准方面的扭转类,使这些德西特解决方案解决运动方程。我们已经验证了陪集和Iwasawa流形的这些扭转条件,事实证明,这些条件不能满足这些空间。然而,这项调查使我们能够找到新的非超对称AdS解决方案的一些陪集。是否存在SU(3)-结构流形满足这些简单de Sitter解存在的挠类条件仍然是一个悬而未决的问题。

英文摘要:

We investigate the type II string effective potential at tree-level and derive necessary ingredients for having de Sitter solutions in orientifold models with fluxes. Furthermore, we examine some explicit O6 compactifications in IIA supergravity on manifolds with SU(3)-structure in the limit where the orientifold sources are smeared. In particular, we use a simple ten-dimensional Ansatz for four-dimensional de Sitter solutions and find the explicit criteria in terms of the torsion classes such that these de Sitter solutions solve the equations of motion. We have verified these torsion conditions for the cosets and the Iwasawa manifold and it turns out that the conditions cannot be fulfilled for these spaces. However, this investigation allows us to find new non-supersymmetric AdS solutions for some cosets. It remains an open question whether there exist SU(3)-structure manifolds that satisfy the conditions on the torsion classes for these simple de Sitter solutions to exist.

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