A Compact Codimension Two Braneworld with Precisely One Brane
arXiv:1004.1807 · doi:10.1103/PhysRevD.81.124025
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.
arXiv comment13 pages, 2 figures; references added, typos fixes; essentially the version published in PRD
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