Moduli instability in warped compactification—4D effective theory approach
Moduli instability in warped compactification—4D effective theory approach
复制标题
翘曲致密化中的模量不稳定性——4D有效理论方法
DOI：
10.1088/0264-9381/23/12/019
复制
发表时间：
2006
影响因子：
3.5
通讯作者：
K. Koyama
中科院分区：
文献类型：
--
作者：
F. Arroja;K. Koyama
我们考虑了一个5DBPS伸缩双膜模型，对于特定的参数选择，该模型简化为Randall-Sundrum模型或HořAva-Witten理论。最近，Chen等人发现了新的动力学解，它描述了翘曲几何的模不稳定性。利用通过求解5D运动方程得到的4D有效理论，基于梯度展开方法，我们证明了Chen等人的精确解可以在4D有效理论中重现，并确定了模不稳定性的来源。我们用一种新的度规ansatz重新讨论了梯度展开方法，以阐明为什么4D有效理论解可以被提升回精确的5D解。最后，我们驳斥了最近的一种说法，即4D有效理论允许比5D理论更广泛的解，并提供了一种方法，将4D有效理论中的解微扰地提升到5D解。
We consider a 5D BPS dilatonic two brane model which reduces to the Randall–Sundrum model or the Hořava–Witten theory for a particular choice of parameters. Recently new dynamical solutions were found by Chen et al, which describe a moduli instability of the warped geometry. Using a 4D effective theory derived by solving the 5D equations of motion, based on the gradient expansion method, we show that the exact solution of Chen et al can be reproduced within the 4D effective theory and we identify the origin of the moduli instability. We revisit the gradient expansion method with a new metric ansatz to clarify why the 4D effective theory solution can be lifted back to an exact 5D solution. Finally we argue against a recent claim that the 4D effective theory allows a much wider class of solutions than the 5D theory and provide a way to lift solutions in the 4D effective theory to 5D solutions perturbatively in terms of small velocities of the branes.