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arXiv 2012.08272hep-th
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通量紧化中的普适轴子反作用

Universal Axion Backreaction in Flux Compactifications

Thomas W. Grimm, Chongchuo Li

摘要:

我们研究了一个大的轴子场漂移对驻留在同一个$\mathcal{N}=1$多重态的轴子伙伴的反反应效应。这样的配置是相关的尝试,以实现弦紧化的轴子单值膨胀。我们的工作在复杂的结构模部门的Calabi-Yau四重紧化的F-理论与四种形式的通量,其中包括许多已知的II型orientifold通量紧化。注意到轴子只能出现在模空间的边界附近,渐近霍奇理论的强大结果提供了一套理想的工具来得出一般性的结论,而不需要关注具体的几何例子。我们发现,边界结构雕刻一个显着的模式,在所有可能的标量位产生的背景通量。通过研究所有允许标量势的极值条件的牛顿多边形,并将逆反应效应实现为Puietrix展开,我们发现这种模式迫使大轴子场对其伙伴轴子场具有普遍的逆反应行为.

英文摘要:

We study the backreaction effect of a large axion field excursion on the saxion partner residing in the same $\mathcal{N}=1$ multiplet. Such configurations are relevant in attempts to realize axion monodromy inflation in string compactifications. We work in the complex structure moduli sector of Calabi-Yau fourfold compactifications of F-theory with four-form fluxes, which covers many of the known Type II orientifold flux compactifications. Noting that axions can only arise near the boundary of the moduli space, the powerful results of asymptotic Hodge theory provide an ideal set of tools to draw general conclusions without the need to focus on specific geometric examples. We find that the boundary structure engraves a remarkable pattern in all possible scalar potentials generated by background fluxes. By studying the Newton polygons of the extremization conditions of all allowed scalar potentials and realizing the backreaction effects as Puiseux expansions, we find that this pattern forces a universal backreaction behavior of the large axion field on its saxion partner.

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