论文标题
有效的理论作为截短的跨系列和比例分离的紧凑型
Effective Theories as Truncated Trans-Series and Scale Separated Compactifications
论文作者
论文摘要
我们研究了在受控的有效野外理论中实现尺度分离的IIB型抗DE保姆和DE Sitter压缩的可能性，该理论由低能和大（但尺度分离）的压实体积定义。我们使用的方法将有效的理论视为全面运动方程的截断，并在这种渐近状态周围的跨系列中扩展。通过研究所有可能的扰动和非扰动校正的尺度，我们确定具有正确缩放的效果以允许所需的溶液。在反DE保姆的情况下，我们发现与KKLT类型的情景一致，并认为非扰动的Brane-instantons包裹四个循环（或类似的缩放效应）本质上是允许缩放分离解决方案的唯一成分。我们还评论了这些结果与ADS Swampland猜想的关系。对于De Sitter案，我们发现我们被迫对运动方程式引入无限数量的相对不受限制的校正，从而导致有效理论的分解。这表明，如果De Sitter Vacua存在于字符串景观中，则不应将其视为与ADS或Minkowski紧凑型相同的有效理论居住，而应将其视为定义了单独的渐近状态，大概是通过二元转化与其他渐近方向相关的。
We study the possibility of realizing scale-separated type IIB Anti-de Sitter and de Sitter compactifications within a controlled effective field theory regime defined by low-energy and large (but scale-separated) compactification volume. The approach we use views effective theories as truncations of the full quantum equations of motion expanded in a trans-series around this asymptotic regime. By studying the scalings of all possible perturbative and non-perturbative corrections we identify the effects that have the right scaling to allow for the desired solutions. In the case of Anti-de Sitter, we find agreement with KKLT-type scenarios, and argue that non-perturbative brane-instantons wrapping four-cycles (or similarly scaling effects) are essentially the only ingredient that allows for scale separated solutions. We also comment on the relation of these results to the AdS swampland conjectures. For the de Sitter case we find that we are forced to introduce an infinite number of relatively unsuppressed corrections to the equations of motion, leading to a breakdown of effective theory. This suggests that if de Sitter vacua exist in the string landscape, they should not be thought of as residing within the same effective theory as the AdS or Minkowski compactifications, but rather as defining a separate asymptotic regime, presumably related to the others by a duality transformation.
