Brane-Worlds and the Calabi-Yau Complex Structure Moduli

TL;DR

This paper explores how the complex structure moduli of Calabi-Yau manifolds influence the evolution of brane-world cosmologies, revealing potential inflationary periods through numerical solutions in supergravity models.

Contribution

It extends previous work by numerically analyzing the time evolution of moduli in brane-world scenarios with dust and radiation, linking moduli dynamics to universe expansion.

Findings

Moduli evolution causally linked to brane-world expansion

Identification of early rapid accelerative expansion (inflation)

Numerical solutions demonstrate moduli influence on cosmological dynamics

Abstract

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.