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arXiv 0705.4104hep-thgr-qchep-ph
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超对称膜世界模型中的牛顿定律

On Newton's law in supersymmetric braneworld models

Gonzalo A. Palma

摘要:

研究了具有体标量场的5维超对称膜世界模型中引力子的传播。这里考虑的设置包括一个5-D体时空由两个4-D膜定域在一个$S^1/Z_2$ orbifold的不动点。在体中有一个标量场$ϕ$,它提供了一个超势$W(ϕ)$,决定了5维时空的扭曲几何。这种情形在弦理论中很常见,在弦理论中,体标量场$ϕ$与小的紧致额外维度的体积有关。我们表明,后的模量是稳定的超对称性破缺项本地化的膜,唯一相关的自由度的散装组成的5-D大规模的引力子谱。然后,我们分析了由这些体引力子介导的位于正张力膜上的大质量物体之间的引力相互作用。结果表明,描述这种相互作用的牛顿势拿起一个非平凡的贡献,在短距离,取决于超势$W(ϕ)$的形状。我们计算这一贡献的电子braneworld场景$W(ϕ) = e^{αϕ}$(其中$α$是一个常数),并讨论了5-D杂种M理论的特殊情况下:有人认为,在微米尺度的特定足迹可以在不久的将来观察到。

英文摘要:

We study the propagation of gravitons within 5-D supersymmetric braneworld models with a bulk scalar field. The setup considered here consists of a 5-D bulk spacetime bounded by two 4-D branes localized at the fixed points of an $S^1/Z_2$ orbifold. There is a scalar field $ϕ$ in the bulk which, provided a superpotential $W(ϕ)$, determines the warped geometry of the 5-D spacetime. This type of scenario is common in string theory, where the bulk scalar field $ϕ$ is related to the volume of small compact extra dimensions. We show that, after the moduli are stabilized by supersymmetry breaking terms localized on the branes, the only relevant degrees of freedom in the bulk consist of a 5-D massive spectrum of gravitons. Then we analyze the gravitational interaction between massive bodies localized at the positive tension brane mediated by these bulk gravitons. It is shown that the Newtonian potential describing this interaction picks up a non-trivial contribution at short distances that depends on the shape of the superpotential $W(ϕ)$. We compute this contribution for dilatonic braneworld scenarios $W(ϕ) = e^{αϕ}$ (where $α$ is a constant) and discuss the particular case of 5-D Heterotic M-theory: It is argued that a specific footprint at micron scales could be observable in the near future.

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