各向异性模量稳定化：具有100维额外维数的LHC尺度弦
Anisotropic Modulus Stabilisation: Strings at LHC Scales with Micron-sized Extra Dimensions
摘要：
我们构建通量稳定的IIB紧致化的额外维度（ED）有非常不同的大小，并使用这些来描述几个真空与TeV弦尺度。因为我们可以访问其中2个维度在层次上大于其他4个维度的制度，所以我们发现除了所有6个ED都相等大的标准示例之外，还有2个维度是微米级的，而其他4个维度是弱尺度的示例。除了提供UV完备性之外，这些模型的现象学在几个方面比普通的大维模型更丰富：（i）它们是超对称的，在体中SUSY在亚eV尺度上破裂，但仅在SM扇区中非线性实现，导致没有MSSM超伙伴和更多的体丢失能量通道，如在超对称大额外维（SLED）中;（ii）复杂的额外维几何中的小循环允许一些KK态驻留在TeV尺度上，即使所有6个ED都大得多;（iii）TeV尺度上丰富的弦和KK态谱;和（iv）同样丰富的光谱的光模量具有异常小（但技术上自然）的质量，与潜在的有趣的宇宙学和天体物理学的影响，但逃避新的力量的约束。层次问题得以解决，因为额外维体积自然地稳定在指数大的值：ED是CY几何，在2D基底上具有4D K3或T^4纤维化，在大体积场景中具有稳定的模量。新的技术步骤是使用对超势的多瞬子修正（与更简单的模型不同，它很可能存在于K3或T^4纤维CY紧化中），以获得不同维度大小之间的大层次。对于几种情况，我们确定了低能量谱，并简要讨论了他们的一些天体物理，宇宙学和现象学的影响。
英文摘要：
We construct flux-stabilised IIB compactifications whose extra dimensions (EDs) have very different sizes, and use these to describe several vacua with a TeV string scale. Because we can access regimes where 2 dimensions are hierarchically larger than the other 4, we find examples where 2 dimensions are micron-sized while the other 4 are at the weak scale in addition to standard examples with all 6 EDs equally large. Besides providing UV completeness, the phenomenology of these models is richer than vanilla large-dimensional models in several ways: (i) they are supersymmetric, with SUSY broken at sub-eV scales in the bulk but only nonlinearly realised in the SM sector, leading to no MSSM superpartners and many more bulk missing-energy channels, as in supersymmetric large extra dimensions (SLED); (ii) small cycles in the complicated extra-dimensional geometry allow some KK states to reside at TeV scales even if all 6 EDs are much larger; (iii) a rich spectrum of string and KK states at TeV scales; and (iv) an equally rich spectrum of light moduli having unusually small (but technically natural) masses, with potentially interesting implications for cosmology and astrophysics that nonetheless evade new-force constraints. The hierarchy problem is solved because the extra-dimensional volume is naturally stabilised at exponentially large values: the EDs are CY geometries with a 4D K3 or T^4-fibration over a 2D base, with moduli stabilised within the LARGE-Volume scenario. The new technical step is the use of poly-instanton corrections to the superpotential (which, unlike for simpler models, are likely to be present on K3 or T^4-fibered CY compactifications) to obtain a large hierarchy between the sizes of different dimensions. For several scenarios we identify the low-energy spectrum and briefly discuss some of their astrophysical, cosmological and phenomenological implications.
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