论文标题
ADS/CFT中重型操作员统计数据的虫洞
Wormholes from heavy operator statistics in AdS/CFT
论文作者
论文摘要
我们构建了较高的欧几里得广告虫孔解决方案，这些解决方案重现了重型CFT操作员合奏的相关函数的统计描述。我们考虑了一个操作员，该操作员有效地以薄灰尘颗粒的壳形式在几何形状上进行反应。假设以Eth Ansatz的形式进行动态混乱，我们证明了半经典路径积分为CFT中薄壳操作员的微观特征提供了有效的统计描述。欧几里得虫洞溶液为操作员合奏的相关函数的累积函数提供了微义鞍点的贡献。最终，我们详细阐述了这些虫洞在非扰动违反ADS/CFT中批量全球对称性的背景下的作用。
We construct higher dimensional Euclidean AdS wormhole solutions that reproduce the statistical description of the correlation functions of an ensemble of heavy CFT operators. We consider an operator which effectively backreacts on the geometry in the form of a thin shell of dust particles. Assuming dynamical chaos in the form of the ETH ansatz, we demonstrate that the semiclassical path integral provides an effective statistical description of the microscopic features of the thin shell operator in the CFT. The Euclidean wormhole solutions provide microcanonical saddlepoint contributions to the cumulants of the correlation functions over the ensemble of operators. We finally elaborate on the role of these wormholes in the context of non-perturbative violations of bulk global symmetries in AdS/CFT.
