Hybrid brane worlds in the Salam-Sezgin model
Hybrid brane worlds in the Salam-Sezgin model
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DOI：
10.1088/1126-6708/2006/07/034
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发表时间：
2006-02
影响因子：
5.4
通讯作者：
B. Carter;A. Nielsen;D. Wiltshire
中科院分区：
文献类型：
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作者：
B. Carter;A. Nielsen;D. Wiltshire
通过推广早期的混合Kaluza-Klein/Randall-Sundrum结构(JHEP02(2002)007)，我们构造了Salam-Sezgin超引力模型的六维翘曲薄膜世界紧凑化。在这种结构中，观测到的宇宙被解释为六维的四层膜，除了通常的三个非紧凑空间维度外，还有一个卡鲁扎-克莱因空间方向。这种结构不同于其他六维的膜世界结构，后者将宇宙引入为对应于六维拓扑缺陷的三膜，或者需要在膜上有特定的物质场配置。我们证明了该模型以牛顿势的预期形式再现了薄膜上的定域引力，并进行了汤川型修正。我们证明了允许的参数范围包括可能解决层级问题的值。给出了背景下精确的非线性引力波解。所给出的解类适用于四维Ricci平坦几何，因此包括了Schwarzschild和Kerr黑洞的膜世界实现作为特例。论证表明，Salam-Sezgin模型的混合紧致可以推广到四维任意爱因斯坦空间几何的约化。
We construct a six-dimensional warped brane world compactification of the Salam-Sezgin supergravity model by generalizing an earlier hybrid Kaluza-Klein / Randall-Sundrum construction (JHEP02(2002)007). In this construction the observed universe is interpreted as a 4-brane in six dimensions, with a Kaluza-Klein spatial direction in addition to the usual three noncompact spatial dimensions. This construction is distinct from other brane world constructions in six dimensions, which introduce the universe as a 3-brane corresponding to a topological defect in six dimensions, or which require a particular configuration of matter fields on the brane. We demonstrate that the model reproduces localized gravity on the brane in the expected form of a Newtonian potential with Yukawa-type corrections. We show that allowed parameter ranges include values which potentially solve the hierarchy problem. An exact nonlinear gravitational wave solution on the background is exhibited. The class of solutions given applies to Ricci-flat geometries in four dimensions, and consequently includes brane world realizations of the Schwarzschild and Kerr black holes as particular examples. Arguments are given which suggest that the hybrid compactification of the Salam-Sezgin model can be extended to reductions to arbitrary Einstein space geometries in four dimensions.