标题： 非平坦膜世界场景中的嵌套扭曲几何 显示英文标题

标题： Nested warped geometry in a non-flat braneworld scenario

摘要： 我们通过引入由有效宇宙常数 {\Omega } 在3膜上引起的非零膜曲率，推广了嵌套乘积压缩膜世界模型。 从双重压缩模型出发，我们首先分析最大压缩膜被识别为可见膜的情况。 对于 {\Omega } < 0，规范层次问题的解决对 |{\Omega }| 设置了一个小的上限，并可能使所有3膜张力为正。 对于 {\Omega } > 0，后者不可能，但宇宙常数调制到其微小观测值与额外维模场调制到反Planck长度附近有关，从而验证了原始平坦膜近似。 在两种情况下，我们研究了TeV膜对的尺度聚类对膜宇宙常数的依赖性，因此探讨了其在生成这些膜之间费米子质量层次中的潜在作用。 将接近最大压缩的膜识别为可见膜则打开了参数空间中允许反德西特和德西特膜均为正3膜张力的区域，但需满足对压缩参数的非平凡约束。 我们最后将关键结果推广到任意n重嵌套压缩膜世界模型。 显示英文摘要

摘要： We generalize nested multiply warped braneworld models by incorporating non-zero brane curvature caused by an effective cosmological constant {\Omega} induced on the 3-branes. Starting with the doubly warped model, we first analyze the case where the maximally warped brane is identified as the visible brane. For {\Omega} < 0, resolution of the gauge hierarchy problem imposes a small upper bound on |{\Omega}|, and can possibly lead to positivity of all the 3-brane tensions. For {\Omega} > 0, the latter is not possible but the tuning of the cosmological constant to its tiny observed value is linked to the tuning of the extra dimensional moduli close to the inverse Planck length, justifying the original flat brane approximation. In both regimes, we study the dependence of the scale-clustering of the pair of TeV-branes on the brane cosmological constant and hence its potential role in generating a fermion mass hierarchy between these branes. Identifying the near-maximally warped brane as the visible brane instead opens up regions in the parameter space that allow positive 3-brane tensions for both anti de Sitter and de Sitter branes, subject to non-trivial constraints on the warping parameters. We conclude by generalizing the key results to arbitrary n-fold nested warped braneworlds.