论文标题
Q曲率和路径积分复杂性
Q-curvature and Path Integral Complexity
论文作者
论文摘要
我们讨论了对路径积分优化作为均匀化问题的解释。这种观点允许在Q曲对流作用方面系统地构建全息形成共形野外理论中高维路径积分的复杂性。我们从优化程序，张量网络和惩罚因素的角度探讨这些行动的属性和后果。此外，在最近提出的全息路径积分优化的背景下，我们考虑了较高的曲率贡献，对hartle的散装切片有更高的贡献，并研究了它们对优化的影响以及它们与Q曲面作用和有限截止性全息图的影响。
We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-dimensional path integral complexity in holographic conformal field theories in terms of Q-curvature actions. We explore the properties and consequences of these actions from the perspective of the optimization programme, tensor networks and penalty factors. Moreover, in the context of recently proposed holographic path integral optimization, we consider higher curvature contributions on the Hartle-Hawking bulk slice and study their impact on the optimization as well as their relation to Q-curvature actions and finite cut-off holography.
