发表机构
Stanford University; Massachusetts Institute of Technology（斯坦福大学; 麻省理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在全息框架下，通过二维膨胀引力中的引力反作用修正，平滑了黑洞奇点导致的弹跳测地线奇点，并揭示了斯托克斯现象与共形块结构的联系。
AI 中文摘要
在全息中，解析延拓的有限温度关联函数 $G(t)$ 表现出黑洞奇点的特征。这些特征以在特定 $t$ 值处的奇点形式出现，其体起源是“弹离”黑洞奇点的零测地线世界线。我们研究了二维膨胀引力中这种效应的某些量子修正，这些修正由世界线对黑洞几何的引力反作用所捕获。这些修正平滑了弹跳测地线的奇点。通过在最速下降分析中跟踪反作用的测地线鞍点，我们发现黑洞奇点物理以一种微妙的方式被编码，涉及在 $t=0$ 处 $G(t)$ 的重合点奇点（及其热像）附近的斯托克斯现象。我们指出了此分析中揭示的斯托克斯线结构与大型 $c$ 二维共形块中禁止奇点分析中存在的结构之间的平行性。最后，我们对这些模型中超越反作用的量子修正的意义进行了初步评论。
英文摘要
In holography, analytically continued finite temperature correlation functions $G(t)$ exhibit signatures of the black hole singularity. These take the form of singularities at certain values of $t$ whose bulk origin is a null geodesic worldline "bouncing off" the black hole singularity. We study certain quantum corrections to this effect in 2D dilaton gravity that are captured by gravitational backreaction of the worldline onto the black hole geometry. These corrections smooth out the bouncing geodesic singularities. By following the backreacted geodesic saddle in a steepest descent analysis we find instead that the black hole singularity physics gets encoded in a subtle way involving a Stokes phenomenon near the coincident point singularity of $G(t)$ at $t=0$ (and its thermal image). We point out a parallel between the structure of Stokes lines uncovered in this analysis and the structure present in the analysis of forbidden singularities in large $c$ 2D conformal blocks. Finally we make some preliminary remarks about the significance of quantum corrections in these models beyond backreaction.
Comments67 pages, 25 figures
