English

A Compact Codimension Two Braneworld with Precisely One Brane

High Energy Physics - Theory 2010-06-30 v3 Mathematical Physics math.MP

Abstract

Building on earlier work on football shaped extra dimensions, we construct a compact codimension two braneworld with precisely one brane. The two extra dimensions topologically represent a 2-torus which is stabilized by a bulk cosmological constant and magnetic flux. The torus has positive constant curvature almost everywhere, except for a single conical singularity at the location of the brane. In contradistinction to the football shaped case, there is no fine-tuning required for the brane tension. We also present some plausibility arguments why the model should not suffer from serious stability issues.

Keywords

Cite

@article{arxiv.1004.1807,
  title  = {A Compact Codimension Two Braneworld with Precisely One Brane},
  author = {Nikolas Akerblom and Gunther Cornelissen},
  journal= {arXiv preprint arXiv:1004.1807},
  year   = {2010}
}

Comments

13 pages, 2 figures; references added, typos fixes; essentially the version published in PRD

R2 v1 2026-06-21T15:09:01.704Z