Simple de Sitter solutions
Simple de Sitter solutions
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简单的德西特解决方案
DOI：
10.1103/physrevd.77.106006
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发表时间：
2007
影响因子：
5
通讯作者：
E. Silverstein
中科院分区：
文献类型：
--
作者：
E. Silverstein
我们提出了一个在IIA型弦理论中建立de Sitter模型的框架，并用具体的例子进行了说明。我们在两个Nil三维流形(具有负标量曲率)与方向折、膜、分数Chern-Simons形式和通量的乘积上通过紧化得到模势的亚稳DS最小值。当离散量子数较大时，曲率、场强、逆体积和四维弦耦合变得参数较小，而德西特哈勃标度可以参数调谐得比模数、KK和缠绕模质量的标度小。结构中的一个微妙之处是，尽管曲率始终很弱，但在这个极限下，尼罗流形的圆形纤维变得非常小(尽管这在参数适中的说明性解中是避免的)。在结构的最简单版本中，最重的模质量在参数上与最轻的KK和弯曲质量的量级相同。然而，我们提供了一种分离这些边缘重叠的标度的方法，更广泛地说，模型的潜在超对称性防止了对低能模势的大修正。
We present a framework for de Sitter model building in type IIA string theory, illustrated with specific examples. We find metastable dS minima of the potential for moduli obtained from a compactification on a product of two Nil three-manifolds (which have negative scalar curvature) combined with orientifolds, branes, fractional Chern-Simons forms, and fluxes. As a discrete quantum number is taken large, the curvature, field strengths, inverse volume, and four dimensional string coupling become parametrically small, and the de Sitter Hubble scale can be tuned parametrically smaller than the scales of the moduli, KK, and winding mode masses. A subtle point in the construction is that although the curvature remains consistently weak, the circle fibers of the nilmanifolds become very small in this limit (though this is avoided in illustrative solutions at modest values of the parameters). In the simplest version of the construction, the heaviest moduli masses are parametrically of the same order as the lightest KK and winding masses. However, we provide a method for separating these marginally overlapping scales, and more generally the underlying supersymmetry of the model protects against large corrections to the low-energy moduli potential.