Branes and Fluxes in D=5 Calabi-Yau Compactifications of M-Theory

TL;DR

This paper explores Poincare three-brane solutions in five-dimensional M-Theory compactified on Calabi-Yau threefolds with G-fluxes, analyzing moduli stabilization, singularities, and the effects of explicit brane sources.

Contribution

It demonstrates how vector moduli freeze at attractor points and addresses singularity issues by including explicit three-brane sources in the compactification.

Findings

Vector moduli freeze at attractor points.

Zero volume singularities can be avoided with explicit brane sources.

Analysis of single and paired brane configurations with fluxes.

Abstract

We discuss Poincare three-brane solutions in D=5 M-Theory compactifications on Calabi-Yau (CY) threefolds with G-fluxes. We show that the vector moduli freeze at an attractor point. In the case with background flux only, the spacetime geometry contains a zero volume singularity with the three-brane and the CY space shrinking simultaneously to a point. This problem can be avoided by including explicit three-brane sources. We consider two cases in detail: a single brane and, when the transverse dimension is compactified on a circle, a pair of branes with opposite tensions.