论文标题
靠近灯酮的热形式相关器和全息图
Near Lightcone Thermal Conformal Correlators and Holography
论文作者
论文摘要
在CFT中，成对相同标量的重量轻（HHLL）相关器具有任何数量的中央电荷，在任何数量的尺寸中都承认双尺度限制限制，其中重型形式的尺寸与中心电荷的比率变大，因为光操作员之间的分离变为无效。在此限制中，只要指数收缩不会增加其扭曲，通用HHLL相关器的应力张量扇形带有多数应力张量量张量的贡献。我们展示了当光操作员的共形尺寸较大并且应力张量扇区近似于热CFT相关器时，人们如何计算这种领先的扭曲应力张量扇形。在此方向上，相关器的值与空间般的大地测量长度相关，该长度接近双重渐近的渐近线，在光操作员插入的点上广告时空。我们提供了无限体积限制的详细说明。在两个时空维度中，HHLL Virasoro真空块被复制，而在四个时空维度中，结果是用椭圆形积分来编写的。
Heavy-heavy-light-light (HHLL) correlators of pairwise identical scalars in CFTs with a large central charge in any number of dimensions admit a double scaling limit where the ratio of the heavy conformal dimension to the central charge becomes large as the separation between the light operators becomes null. In this limit the stress tensor sector of a generic HHLL correlator receives contributions from the multi stress tensor operators with any number of stress tensors, as long as their twist is not increased by index contractions. We show how one can compute this leading twist stress tensor sector when the conformal dimension of the light operators is large and the stress tensor sector approximates the thermal CFT correlator. In this regime the value of the correlator is related to the length of the spacelike geodesic which approaches the boundary of the dual asymptotically AdS spacetime at the points of light operator insertions. We provide a detailed description of the infinite volume limit. In two spacetime dimensions the HHLL Virasoro vacuum block is reproduced, while in four spacetime dimensions the result is written in terms of elliptic integrals.
