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arXiv 0903.0133hep-thhep-ph
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反de Sitter时空中膜交上的场局部化

Field localization on a brane intersection in anti-de Sitter spacetime

Antonino Flachi, Masato Minamitsuji

摘要:

我们讨论了标量、费米子和规范场零模在六维反德西特空间中位于两个$4-$膜相交处的$3-$膜上的局域化。这种设置已经在膜世界模型的上下文中介绍过,在更高维的版本中,也在弦论中介绍过。在六维和十维的情况下,已经证明四维引力可以在交叉点重现,因为存在无质量的局域引力子零模。然而,现实的场景也要求标准模型被定位在$3-$膜上。本文讨论了在上述几何上传播的高维场论在什么条件下可以在交点处有零模局域化,并发现只有当质量和与背景曲率的耦合满足一定的关系时,零模才能局域化。我们还考虑的情况下,当其他4-膜削减散装在一定距离的交叉点,并认为,在探针膜近似,有没有显着的影响本地化性能在$3-$膜。体费米子的情况是特别有趣的,因为几何的属性允许本地化的手征模式独立。

英文摘要:

We discuss the localization of scalar, fermion, and gauge field zero modes on a $3-$brane that resides at the intersection of two $4-$branes in six-dimensional anti-de Sitter space. This set-up has been introduced in the context of brane world models and, higher-dimensional versions of it, in string theory. In both six- and ten-dimensional cases, it has been shown that four-dimensional gravity can be reproduced at the intersection, due to the existence of a massless, localized graviton zero-mode. However, realistic scenarios require also the Standard Model to be localized on the $3-$brane. In this paper, we discuss under which conditions a higher-dimensional field theory, propagating on the above geometry, can have a zero-mode sector localized at the intersection and find that zero modes can be localized only if masses and couplings to the background curvature satisfy certain relations. We also consider the case when other 4-branes cut the bulk at some distance from the intersection and argue that, in the probe brane approximation, there is no significant effect on the localization properties at the $3-$brane. The case of bulk fermions is particularly interesting, since the properties of the geometry allow localization of chiral modes independently.

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