A sufficient condition for de Sitter vacua in type IIB string theory
A sufficient condition for de Sitter vacua in type IIB string theory
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DOI：
10.1007/jhep01(2012)020
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发表时间：
2011-07
影响因子：
5.4
通讯作者：
M. Rummel;A. Westphal
中科院分区：
文献类型：
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作者：
M. Rummel;A. Westphal
我们推导了在具有自发破缺超对称性的 IIB 型弦理论通量紧致化中实现具有小正宇宙学常数的亚稳定德西特真空的充分条件。在IIB型弦理论和超引力中有许多德西特真空的“灯柱”结构。我们证明其中之一——通过非微扰效应和领先的 α' 校正之间的相互作用通过 F 项进行“凯勒提升”的方法——允许对德西特真空的存在有更普遍的参数理解。结果是通量感应超势值和卡拉比-丘紧致化拓扑数据的条件，如果满足，则保证亚稳定德西特真空的存在。我们的分析明确包括通过参数大体积下主要扰动和非扰动效应的相互作用来稳定所有模量，即凯勒模量、膨胀模量和复杂结构模量。
We derive a sufficient condition for realizing meta-stable de Sitter vacua with small positive cosmological constant within type IIB string theory flux compactifications with spontaneously broken supersymmetry. There are a number of ‘lamp post’construc-tions of de Sitter vacua in type IIB string theory and supergravity. We show that one of them—the method of ‘Kähler uplifting’by F-terms from an interplay between non-perturbative effects and the leading α′-correction—allows for a more general parametric understanding of the existence of de Sitter vacua. The result is a condition on the values of the flux induced superpotential and the topological data of the Calabi-Yau compactification, which guarantees the existence of a meta-stable de Sitter vacuum if met. Our analysis explicitly includes the stabilization of all moduli, ie the Kähler, dilaton and complex structure moduli, by the interplay of the leading perturbative and non-perturbative effects at parametrically large volume.