论文标题
通用轴反应在通量压缩中
Universal Axion Backreaction in Flux Compactifications
论文作者
论文摘要
我们研究了位于相同$ \ MATHCAL {N} = 1 $多重组的Saxion合作伙伴上的大型轴心场偏移的反应效应。这种配置与试图实现琴弦紧凑型轴支单构型通胀有关。我们在f-yau的复杂结构模量扇区中使用四型通量的F理论的四倍压缩，这涵盖了许多已知的II型Erientifold通量压缩。指出轴只能在模量空间的边界附近产生，因此渐近霍奇理论的有力结果提供了一组理想的工具来得出一般结论，而无需关注特定的几何示例。我们发现，边界结构在背景通量产生的所有可能的标量电势中雕刻了一个显着的模式。通过研究所有允许标量电势的极端条件的牛顿多边形，并意识到作为puiseux膨胀的倒反应效应，我们发现这种模式迫使其萨克西翁伙伴对大轴突的通用反向反应行为。
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.
