论文标题
部分可观测时空混沌系统的无模型预测
Late-time correlation functions in dS$_3$/CFT$_2$ correspondence
论文作者
论文摘要
我们计算三维DE Sitter时空的延迟相关功能，以进行更高的重力理论。为此，我们详细阐述了该公式，以从双重共形场理论中获得宇宙的波功能，该理论用于计算后期相关函数。我们认为，与内置公式中的直接批量Feynman图计算的关系。此外，我们提供了一种精确的处方，可以构建高自旋DS $ _3 $全息图作为ADS $ _3 $的Gaberdiel-Gopakumar双重性的分析延续。此处的一部分结果已经在较早的信中报告。我们在本文中解释了它们的衍生细节，并将分析扩展到更通用的情况。以前，我们已经检查了牛顿常数以领先顺序的两点和三点函数和简单的四点相关器。在这里，我们还评估了更复杂的四点相关器。最后，我们以关键级别固定的替代限制为DS $ _3 $ _3 $/CFT $ _2 $的延迟相关器，例如，在锥形缺陷几何形状上的两点相关器。我们还检查了DS $ _3 $上的两点相关器的一环校正。
We compute the late-time correlation functions on three-dimensional de Sitter spacetime for a higher-spin gravity theory. For this, we elaborate on the formulation to obtain the wave functional of universe from a dual conformal field theory, which is used to compute the late-time correlation functions. We argue that the relation to direct bulk Feynman diagram computations in the in-in formulation. We furthermore provide a precise prescription to construct a higher-spin dS$_3$ holography as an analytic continuation of Gaberdiel-Gopakumar duality for AdS$_3$. Part of results here were already reported in an earlier letter. We explain the details of their derivations and extend the analysis to more generic cases in this paper. Previously, we have examined two- and three-point functions and a simple four-point correlator at the leading order in Newton constant. Here we also evaluate more complicated four-point correlators. Finally, we study late-time correlators in an alternative limit of dS$_3$/CFT$_2$ with critical level coset, such as, two-point correlator on conical defect geometry. We also examine one-loop corrections to two-point correlator on dS$_3$.
