On the 4D effective theory in warped compactifications with fluxes and branes
On the 4D effective theory in warped compactifications with fluxes and branes
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关于通量和膜翘曲致密化的 4D 有效理论
DOI：
10.1016/j.physletb.2006.08.029
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发表时间：
2006
影响因子：
4.4
通讯作者：
F. Arroja
中科院分区：
文献类型：
--
作者：
K. Koyama;K. Koyama;F. Arroja
本文给出了一个系统的方法，导出了在10维IIB型超引力中，具有通量和膜的四维翘曲紧化的有效理论。利用梯度展开法求解了10维运动方程，并通过施加在内部流形上积分时关于6维内部坐标的全导数项为零的一致性条件，导出了有效的四维运动方程。通过求解有效的四维方程，我们可以发现由于模场、膜和通量的动力学而引起的对翘曲几何的引力反作用。
We present a systematic way to derive the four-dimensional effective theories for warped compactifications with fluxes and branes in the ten-dimensional type IIB supergravity. The ten-dimensional equations of motion are solved using the gradient expansion method and the effective four-dimensional equations of motions are derived by imposing the consistency condition that the total derivative terms with respect to the six-dimensional internal coordinates vanish when integrated over the internal manifold. By solving the effective four-dimensional equations, we can find the gravitational backreaction to the warped geometry due to the dynamics of moduli fields, branes and fluxes.