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arXiv 0812.3864hep-thhep-ph
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在无隆起的无标度弦模型中构造de Sitter真空

Constructing de Sitter vacua in no-scale string models without uplifting

Laura Covi, Marta Gomez-Reino, Christian Gross, Gonzalo A. Palma, Claudio A. Scrucca

摘要:

我们发展了一种在N=1超引力模型中构造亚稳de Sitter真空的方法,该模型描述了Calabi-Yau弦紧化的无标度体积模扇区。我们考虑杂种优势和orientifold模型。我们的主要指导思想是来自Goldstino多重态的亚稳真空存在的必要条件,它限制了允许的标量几何和超对称破缺方向。在最简单的非平凡的情况下,体积是由两个模控制,这个条件简化,原来是完全由卡-丘流形的交叉数。我们详细分析这种情况下,并表明,一旦满足亚稳性条件,它是可能的,以系统的方式重建的局部形式的超势,是需要稳定的所有领域。然后,我们应用这个程序来构建一些模型的例子,其中超势采取一个现实的形式允许的通量背景和gaugino凝聚效应,一个可行的真空出现,而不需要调用的Kahler潜在的修正打破无标度属性或提升条款。最后,我们讨论了沿着这些路线构建潜在的现实模型的前景。

英文摘要:

We develop a method for constructing metastable de Sitter vacua in N=1 supergravity models describing the no-scale volume moduli sector of Calabi-Yau string compactifications. We consider both heterotic and orientifold models. Our main guideline is the necessary condition for the existence of metastable vacua coming from the Goldstino multiplet, which constrains the allowed scalar geometries and supersymmetry-breaking directions. In the simplest non-trivial case where the volume is controlled by two moduli, this condition simplifies and turns out to be fully characterised by the intersection numbers of the Calabi-Yau manifold. We analyse this case in detail and show that once the metastability condition is satisfied it is possible to reconstruct in a systematic way the local form of the superpotential that is needed to stabilise all the fields. We apply then this procedure to construct some examples of models where the superpotential takes a realistic form allowed by flux backgrounds and gaugino condensation effects, for which a viable vacuum arises without the need of invoking corrections to the Kahler potential breaking the no-scale property or uplifting terms. We finally discuss the prospects of constructing potentially realistic models along these lines.

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