论文标题
双曲线空间中标量和矢量场的杆子滑动：保形块和全息图
Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
论文作者
论文摘要
由两个点函数的杆子铲球现象与四个点外阶相关器（OTOC）之间的连接激励，我们研究了双曲线空间中$ d $ d $ d $维的保形场理论（CFTS）中热两个点函数的极点结构。我们通过三种方法（一种字段理论和两种全息方法）得出标量和向量场的两点函数的杆子伸缩点，并确认它们同意。我们表明，两个点函数的领先杆子弹跳点与四点OTOC中的共形块和阴影保形块的晚期行为有关。
Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in $d$-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs.
