In this paper we extend previous work on the relation between the complex structure moduli of the underlying Calabi-Yau manifold in five dimensional supergravity with the time evolution of an embedded 3-brane. We numerically solve the fields' equations for such a construction and focus on dust and radiation filled branes; with the possible application of modeling the universe as a brane-world. It is shown that in both cases the time evolution of the moduli causally connects to the expansion of the brane-world. We also find that in most cases considered there is an early short period of rapid accelerative expansion, indicating an inflationary epoch. We report on these results; leaving analysis of the underlying causes for future work.

中文翻译：

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膜世界和卡拉比-丘复合结构模量

在本文中，我们扩展了先前关于五维超重力中底层 Calabi-Yau 流形的复杂结构模量与嵌入的 3 膜的时间演化之间关系的工作。我们对这种结构的场方程进行数值求解，并专注于充满灰尘和辐射的膜；将宇宙建模为膜世界的可能应用。结果表明，在这两种情况下，模量的时间演化都与膜世界的扩张存在因果关系。我们还发现，在考虑的大多数情况下，存在早期的快速加速扩张时期，表明进入了通货膨胀时期。我们报告这些结果；留下分析未来工作的根本原因。