论文标题
圆锥形$ ADS_3 $中全息图的各个方面
Aspects of Holography in Conical $AdS_3$
论文作者
论文摘要
我们在$ ads_3 $中研究了Feynman的Feynman繁殖物，具有圆锥形缺陷。传播器是通过求解大量运动方程，在田地模式上求和并采取边界限制来构建的。然后，我们执行几个一致性检查。在双重CFT中，负责缺陷的操作员创造了一个非常激动的状态。我们考虑在重灯极限内交换Virasoro身份块，以获得对缺陷质量敏感的传播剂的表达。在$ ads_3/\ mathbb {z} _n $中，我们通过图像方法和地球近似处理传播器。更普遍地，我们认为，随着缺陷变得更大，标量的远距离相关性被抑制：我们在BTZ阈值处发现相关器中的相关器中的连续相变并检查其关键行为。最后，我们使用标量和副本扭曲场之间的类比将结果应用于全息纠缠熵。
We study the Feynman propagator of free scalar fields in $AdS_3$ with a conical defect. The propagator is built by solving the bulk equation of motion, summing over the modes of the field, and taking the boundary limit. We then perform several consistency checks. In the dual CFT, the operator responsible for the defect creates a highly excited state. We consider the exchange of the Virasoro identity block in the heavy-light limit to obtain an expression for the propagator sensitive to the mass of the defect. In $AdS_3/\mathbb{Z}_n$, we treat the propagator by the method of images and in the geodesic approximation. More generally, we argue that long-range correlations of the scalar are suppressed as the defect becomes more massive: we find a continuous phase transition in the correlator at the BTZ threshold and examine its critical behavior. Finally, we apply our results to holographic entanglement entropy using an analogy between our scalars and replica twist fields.
