An Interpretation for the Equivalence of Two Holographic Computations of the Butterfly Velocity with the Canonical Formalism of Gravity

论文概述

In this paper, we revisit the equivalence of two holographic computations of the butterfly velocity: the computation with the shock wave solution and the computation with the entanglement wedge reconstruction. We provide an interpretation for the equivalence of the two computations with the canonical formalism of gravity. Specifically, by taking use of the canonical formalism, we reformulate both computations into the ones with a similar form. Here, in both reformulated computations, the butterfly velocity is computed from applying a given set of initial data into the constraint equations. And the sets of initial data of both computations have a similar structure. We then interpret the equivalence of the two computations as from the similar form of the reformulated computations.

研究背景

冲击波解与纠缠楔重建提供两种计算蝴蝶速度的方法；预印本探讨二者结果一致的原因。

主要结果

作者将两种计算都改写为把初始数据代入引力约束方程，并通过初始数据和改写后计算的相似结构解释二者的一致性。

为何重要

为文中讨论的两种计算提供共同的正则描述，展示初始数据与引力约束方程在两种方法中的共同作用。

引用

@article{Deng:251204498,
  author = {Deng, Feiyu and Wang, Xiao-Shuai and Wu, Jie-qiang},
  title = {An Interpretation for the Equivalence of Two Holographic Computations of the Butterfly Velocity with the Canonical Formalism of Gravity},
  year = {2025},
  eprint = {2512.04498},
  archivePrefix = {arXiv},
  primaryClass = {hep-th}
}