标题： 高维膜模型中的模稳定化 显示英文标题

标题： Moduli stabilization in higher dimensional brane models

摘要： 我们考虑一类具有拓扑结构的高维膜模型$M \times \Sigma \times S^1/Z_2$，其中$\Sigma$是一个$D_2$维流形。两个余维一的膜被嵌入这样的体时空，并位于轨道固定点上。我们关注一种情况，其中指数形式的扭曲因子（取决于轨道上的距离）伴随着闵可夫斯基$M$和内部空间$\Sigma$的线元。我们评估了这些模型中由体标量场引起的模态有效势能，并表明通常这种势能可以稳定额外维度的大小。作为应用，我们考虑了一个场景，其中超对称在截止尺度以下不远被破坏，并且电弱尺度和有效普朗克尺度之间的层次是由红移和大体积效应共同产生的。后者由于负张力膜上的$\Sigma$收缩而有效，物质被放置在该膜上。在这种情况下，我们发现只要内部空间$\Sigma$是平坦的，有效势能就可以在不需要微调的情况下稳定额外维度的大小和层次。 显示英文摘要

摘要： We consider a class of warped higher dimensional brane models with topology $M \times \Sigma \times S^1/Z_2$, where $\Sigma$ is a $D_2$ dimensional manifold. Two branes of codimension one are embedded in such a bulk space-time and sit at the orbifold fixed points. We concentrate on the case where an exponential warp factor (depending on the distance along the orbifold) accompanies the Minkowski $M$ and the internal space $\Sigma$ line elements. We evaluate the moduli effective potential induced by bulk scalar fields in these models, and we show that generically this can stabilize the size of the extra dimensions. As an application, we consider a scenario where supersymmetry is broken not far below the cutoff scale, and the hierarchy between the electroweak and the effective Planck scales is generated by a combination of redshift and large volume effects. The latter is efficient due to the shrinking of $\Sigma$ at the negative tension brane, where matter is placed. In this case, we find that the effective potential can stabilize the size of the extra dimensions and the hierarchy without fine tuning provided that the internal space $\Sigma$ is flat.