AdS/CFT与dS/CFT之间的Stokes现象
Stokes Phenomena between AdS/CFT and dS/CFT
- RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)（RIKEN跨学科理论与数学科学中心（iTHEMS））
- Graduate School of Science and Engineering, Saitama University（埼玉大学理工学研究科）
- Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究AdS/CFT与dS/CFT解析延拓中的Stokes现象，通过体迷你超空间和边界Liouville零模独立计算，验证了全息一致性，并为共形因子问题提供围道处方。
AI中文摘要：
当参数变化时，对（路径）积分有贡献的鞍点集合可能发生不连续变化，导致积分的渐近展开相应改变。这种行为被称为Stokes现象。我们在与AdS/CFT和dS/CFT对应关系相关的解析延拓问题背景下探讨这一现象。本文中，我们通过体迷你超空间和边界Liouville零模的独立计算，研究三维纯引力和二维Liouville理论中的这些对应关系。在体方面，dS围道选择单个鞍点并产生隧穿波函数。延拓到AdS后，围道转而选择无穷多个鞍点族。边界计算在半经典领头阶独立重现相同的Stokes结构，提供了非平凡的弦论全息一致性检验。我们的构造还为欧几里得AdS$_3$量子引力迷你超空间中的共形因子问题提供了围道处方。
英文摘要：
As parameters are varied, the set of saddle points contributing to a (path) integral may change discontinuously, leading to a corresponding change in the asymptotic expansion of the integral. This behavior is known as the Stokes phenomenon. We explore this phenomenon in the context of the analytic continuation problem relating the AdS/CFT and dS/CFT correspondences. In this paper, we study these correspondences for three-dimensional pure gravity and two-dimensional Liouville theory, using independent calculations in bulk minisuperspace and in the boundary Liouville zero-mode. In the bulk, the dS contour selects a single saddle and yields the tunneling wave function. Upon continuation to AdS, the contour instead selects an infinite family of saddles. The boundary calculation independently reproduces the same Stokes structure at leading semiclassical order, providing a nontrivial holographic consistency check. Our construction also offers a contour prescription for the conformal factor problem in Euclidean AdS$_3$ quantum gravity within minisuperspace.
