Branes and fluxes in D=5 Calabi–Yau compactifications of M-theory
Originally posted at http://arxiv.org/abs/hep-th/0004095v2. Preprint of an article published in Physics Letters B, v.485 no.1-3, 2000.
We discuss Poincaré 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.
Michał Spaliński and Tomasz R. Taylor. "Branes and fluxes in D=5 Calabi–Yau compactifications of M-theory" Physics Faculty Publications (2000).
Available at: http://works.bepress.com/ttaylor1/3