标题： RG-诱导模量稳定：微扰的德西特真空和改进的$\hbox{D3}$-$\overline{\hbox{D3}}$暴胀 显示英文标题

标题： RG-Induced Modulus Stabilization: Perturbative de Sitter Vacua and Improved $\hbox{D3}$-$\overline{\hbox{D3}}$ Inflation

摘要： 我们提出了一种新机制，该机制将微扰方法适应于弦理论，以在微扰控制领域内稳定模量，从而避免“Dine-Seiberg”问题。 唯一需要的非微扰信息来自标准的重整化群重求和，该重求和允许我们同时在微扰参数$\alpha$的固定阶数上工作，并且在$\alpha \ln\tau$的所有阶数上工作，其中$\tau$是一个大额外维模量。 产生的势能自然在模量为$\tau\sim e^{1/\alpha}$的情况下最小化，因此给定${\cal O}(10)$输入参数时可以是指数级大的。 该机制依赖于已知为普遍的意外低能标度对称性，因此对紫外细节具有鲁棒性。 由此产生的紧化通常会破坏超对称性，而且无需额外提升即可相对容易地实现4D德西特解。 主题的变体导致了膨胀情景，其中稳定模量在膨胀前后大小显著不同，因此提供了一种动力学机制，使膨胀尺度远大于晚期物理（$e.g.$~超对称性破缺）尺度，这种层次结构取决于过去宇宙演化，其中暴胀场在晚期扮演次要的弛豫场角色。 我们应用这个形式到使用非线性实现超对称的扭曲$\hbox{D3}$-$\overline{\hbox{D3}}$暴胀，用以描述反膜张力和库仑相互作用，并展示如何这样做使得我们的微扰模稳定机制避开了通常困扰此情景的$\eta$-问题。我们推测该形式在膜-反膜湮灭后期阶段的快子凝聚中的相关性。 显示英文摘要

摘要： We propose a new mechanism that adapts to string theory a perturbative method for stabilizing moduli without leaving the domain of perturbative control, thereby evading the `Dine-Seiberg' problem. The only required nonperturbative information comes from the standard renormalization-group resummation of leading logarithms that allow us simultaneously to work to a fixed order in the perturbative parameter $\alpha$ and to all orders in $\alpha \ln\tau$ where $\tau$ is a large extra-dimensional modulus. The resulting potential is naturally minimized for moduli of order $\tau\sim e^{1/\alpha}$ and so can be exponentially large given ${\cal O}(10)$ input parameters. The mechanism relies on accidental low-energy scaling symmetries known to be generic and so is robust against UV details. The resulting compactifications generically break supersymmetry and 4D de Sitter solutions are relatively easy to achieve without additional uplifting. Variations on the theme lead to inflationary scenarios for which the size of the stabilized moduli differ significantly before and after inflation and so provide a dynamical mechanism whereby inflationary scales are much larger than late-time physical ($e.g.$~supersymmetry breaking) scales, with this hierarchy contingent on past cosmic evolution with the inflaton playing a secondary late-time role as a relaxation field. We apply this formalism to warped $\hbox{D3}$-$\overline{\hbox{D3}}$ inflation using non-linearly realized supersymmetry to describe the antibrane tension and the Coulomb interaction, and show how doing so our perturbative modulus stabilization mechanism evades the $\eta$-problem that usually plagues this scenario. We speculate about the relevance of our formalism to tachyon condensation at later stages of brane-antibrane annihilation.