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5维膜世界模型中的NS膜

NS-branes in 5d brane world models

Eun Kyung Park, Pyung Seong Kwon

备注：
Section 6 has been revised
发表信息：
Phys.Rev.D82:046001,2010; Erratum-ibid.D82:069902,2010
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摘要：

研究了在$S_1 / \mathbb{Z}_2$上紧化的5维膜世界模型的余维1膜解.在弦理论中，他们认为位于轨道不动点的背景膜应该是NS-膜（在五维意义上），而不是D-膜。事实上，背景NS膜的存在对于获得平坦几何$M_4 \times S_1 / \mathbb{Z}_2$是必不可少的，其中$M_4$代表4d Minkowski时空，如果没有这些膜，5d度规就会变得处处奇异。这个结果非常令人想起$(p+3)$ d有效弦论\cite{1}，其中NS-NS型$p$ -膜对于在横向维度上获得平坦几何$R_2$或$R_2 /\mathbb{Z}_n$是必不可少的。如果没有这个NS-NS型$p$ -膜，2d横空间就变成了一个针形奇异空间。这两个理论之间的对应关系使我们猜想，弦论的整个平坦背景内在地把NS-膜隐含地包含在它们的对应中，因此，我们时空中真正的背景$p$ -膜隐含地可能是NS-膜，而不是D-膜。我们认为，这一结果可以有一个显着的后果的背景下，宇宙学常数的问题。

英文摘要：

We study codimension-1 brane solutions of the 5d brane world models compactified on $S_1 / \mathbb{Z}_2$. In string theoretical setup they suggest that the background branes located at orbifold fixed points should be NS-branes (in the five dimensional sense), rather than D-branes. Indeed, the existence of the background NS-branes is indispensable to obtain flat geometry $M_4 \times S_1 / \mathbb{Z}_2$ where $M_4$ represents the 4d Minkowski spacetime, and without these branes the 5d metric becomes singular everywhere. This result is very reminiscent of the $(p+3)$d effective string theory \cite{1} where the NS-NS type $p$-brane is indispensable to obtain a flat geometry $R_2$ or $R_2 /\mathbb{Z}_n$ on the transverse dimensions. Without this NS-NS type $p$-brane the 2d transverse space becomes a pin-shaped singular space. The correspondence between these two theories leads us to a conjecture that the whole flat backgrounds of the string theory inherently invovle the NS-branes implicitly in their ansatz, and hence the true background $p$-branes immanent in our spacetime may be NS-branes, instead of D-branes. We argue that this result can have a significant consequence in the context of the cosmological constant problem.

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