发表机构
School of Mathematics and Hamilton Mathematics Institute, Trinity College; School of Mathematics & Statistics, University College Dublin; Faculty of Mathematics and Physics, University of Ljubljana（三一学院数学与哈密顿数学研究所; 都柏林大学学院数学与统计学院; 卢布尔雅那大学数学与物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文通过全息OPE数据分析，建立了反弹奇点幂律指数与黑洞奇点附近卡斯纳指数的直接关系，并探讨了其适用范围及横向扩展。
AI 中文摘要
在大$N$极限下，全息热关联函数的解析结构包含了关于对偶黑洞近奇点区域的非平凡信息。特别是，复时间奇点可以与探测黑洞内部并在奇点处反弹的测地线相关联。我们分析了在全息OPE数据进入标量两点函数时的渐近行为，这些函数处于与黑洞膜对偶的态中，其中黑化因子在径向坐标的逆幂的有限阶处截断。对于这类几何，我们发现了这些反弹奇点的幂律指数与黑洞奇点附近时间方向相关的卡斯纳指数之间的直接关系。我们讨论了这一关系的有效范围，并评论了可能扩展到横向空间方向的情况。
英文摘要
At large $N$, the analytic structure of holographic thermal correlation functions contains non-trivial information about the near-singularity region of dual black holes. In particular, complex-time singularities can be related to geodesics that probe the black hole interior and bounce off the singularity. We analyse the asymptotic behaviour of holographic OPE data entering scalar two-point functions in states dual to black branes whose blackening factors truncate at finite order in inverse powers of the radial coordinate. For this class of geometries, we find a direct relation between the power-law exponent of these bouncing singularities and the Kasner exponent associated with the time direction near the black hole singularity. We discuss the regime of validity of this relation and comment on possible extensions to the transverse spatial directions.
Comments8 Pages, 2 Figures, 3 Tables. Comments welcome
