论文标题
混合相关性的编码信息:从一个维度的视图更高
Encoded information of mixed correlations: the views from one dimension higher
论文作者
论文摘要
在审查了JT重力后,我们在\ cite {verheijden:2021yrb}的几何蒸发设置中讨论了黑洞辐射的混合相关度量中的四个马鞍。通过从$ 1D $更高的观点和部分维度降低,我们检查了这四个马鞍的相结构和普遍性。我们还讨论了这四个阶段中每个阶段的量子误差校正代码的行为,并达到一致的结果。然后,我们试图探索分区功能与$ 3D $ CHERN-SIMONS和$ 2D $ BF理论,$ 2D $ LIOUVILLE和2D $ 2D $ 2D $ WESS-ZUMINO-WONTITTEN的$ 3D $ CHERN-SIMONS和$ 2D $ bf理论之间的连接,而不是在爱因斯坦重力和JT之间的尺寸降低。我们在混合相关和岛屿配方的设置中特别概述了这些理论之间的联系。
After reviewing the JT gravity, we discuss the four saddles in the mixed correlation measures of black holes Hawking radiation in the setup of geometric evaporation of \cite{Verheijden:2021yrb}. By looking from $1d$ higher point of view and partial dimensional reduction, we examine the phase structures and the universalities for these four saddles. We also discuss the behavior of quantum error correction codes for each of these four phases, reaching to consistent results. Then, instead of dimension reduction between Einstein gravity and JT, we try to explore the connections between partition functions and saddles of $3d$ Chern-Simons and $2d$ BF theories, $2d$ Liouville and $2d$ Wess-Zumino-Witten models, and also the dimensionally reduced $1d$ Schwarzian and $1d$ particles on group. We specifically sketch on the connections between these theories in the setup of mixed correlations and island formulation.