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arXiv 1004.1807hep-thmath-phmath.MP
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具有一个膜的紧致余维二膜世界

A Compact Codimension Two Braneworld with Precisely One Brane

Nikolas Akerblom, Gunther Cornelissen

摘要:

在早期关于足球形额外维度的工作的基础上,我们用一个膜构造了一个紧凑的余维2膜世界。这两个额外的维度在拓扑上代表了一个2-环面,它被一个体积宇宙学常数和磁通量所稳定。环面几乎处处都有正的常曲率,除了在膜的位置有一个单一的圆锥奇点。与橄榄球形状的情况不同,这里不需要对膜张力进行微调。我们还提出了一些合理性的论点,为什么该模型不应该遭受严重的稳定性问题。

英文摘要:

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.

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