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arXiv 1310.4202hep-thastro-ph.COhep-ph
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IIB型多Kähler模模型真空稳定性的概率

Probability of Vacuum Stability in Type IIB Multi-Kähler Moduli Models

Markus Rummel, Yoske Sumitomo

摘要:

本文研究了在大体积区域下IIB型弦论紧化的具体多Kähler模模型中,模质量矩阵在极值点的所有特征值为正的概率.我们的分析是由开放的问题,如果真空被提升到德西特保持稳定的动机。我们推导出一个简单的分析条件的质量矩阵是正定的,并估计相应的概率在一个超对称模量稳定模型沿线的KKLT和非超对称大容量场景类型的模型,给出了合理的范围内的紧致化参数。在相同条件下,超对称模型的概率略高于大容量情景类型模型的概率。

英文摘要:

We study the probability that all eigenvalues of the moduli mass matrix at extremal points are positive in concrete multi-Kähler moduli models of type IIB string theory compactifications in the large volume regime. Our analysis is motivated by the open question if vacua which are uplifted to de Sitter remain stable. We derive a simple analytical condition for the mass matrix to be positive definite, and estimate the corresponding probability in a supersymmetric moduli stabilization model along the lines of KKLT and a non-supersymmetric Large Volume Scenario type of model, given a reasonable range of compactification parameters. Under identical conditions, the probability for the supersymmetric model is moderately higher than that of the Large Volume Scenario type model.

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