冲击波存在时奇点的边界特征
Boundary signature of singularity in the presence of a shock wave
AI总结：
针对落入 Schwarzschild-AdS 黑洞的冲击波导致奇点向下弯曲的问题，提出通过边界两点函数的新颖解析延拓进行全息探测，并推广了热乘积公式。
摘要：
物质从左侧落入 Schwarzschild-AdS 黑洞，会增强来自右侧的入射测地线的聚焦，因此这些测地线更早到达奇点。在标准 Penrose 图中，奇点会“向下弯曲”。我们展示如何利用边界两点函数，以全息方式探测奇点的这一特征。我们用冲击波对物质建模，并表明奇点的这种向下弯曲可以从边界两点函数的一种新颖解析延拓中读出。在此过程中，我们得到了最近提出的两点关联函数热乘积公式的推广。
英文摘要：
Matter falling into a Schwarzschild-AdS black hole from the left causes increased focussing of ingoing geodesics from the right, and, as a consequence, they reach the singularity sooner. In a standard Penrose diagram, the singularity "bends down". We show how to detect this feature of the singularity holographically, using a boundary two-point function. We model the matter with a shock wave, and show that this bending down of the singularity can be read off from a novel analytic continuation of the boundary two-point function. Along the way, we obtain a generalization of the recently proposed thermal product formula for two-point correlators.
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