It is shown in this article that an explicit construction of a four-dimensional de Sitter space may be performed using a diagrammatic approach via nodal diagrams emanating from the path integral representation of the Glauber-Sudarshan state. Sum of these diagrams typically leads to an asymptotic series of Gevrey kind which can then be Borel resummed, thus reproducing the non-perturbative structure of the system. The analysis shows that four-dimensional de Sitter space is not only possible in string theory overcoming the no-go and the swampland criteria—albeit as a Glauber-Sudarshan state—but it may also be non-perturbatively stable within a controlled temporal domain. Somewhat consistently, the Borel resummation of the Gevrey series provides strong hint towards the positivity of the cosmological constant.

中文翻译：

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德西特格劳伯-苏达尚态的复兴：节点图和 Borel 恢复

本文表明，四维德西特空间的显式构造可以使用图解方法，通过源自格劳伯-苏达山状态的路径积分表示的节点图来执行。这些图的总和通常会产生 Gevrey 类的渐近级数，然后可以对其进行 Borel 恢复，从而再现系统的非微扰结构。分析表明，四维德西特空间不仅可以在弦理论中克服禁区和沼泽标准（尽管是格劳伯-苏达山态），而且在受控时域内也可能是非扰动稳定的。某种程度上一致的是，格夫雷级数的博雷尔恢复为宇宙学常数的积极性提供了强有力的暗示。