Weyl参考系中的高自旋动力学
Higher spin dynamics in Weyl reference frame
浏览论文内容
中文总结 AI 辅助
本研究在Weyl参考系中推导了有限距离类空超曲面上的$w_{1+\infty}$代数，解决了高自旋电荷括号的非局域问题，为有限距离记忆效应提供新视角，可推广至渐近(A)dS$_4$时空。
中文摘要 AI 辅助
在本手稿中，我们推导了位于有限距离处任意类空超曲面上的$w_{1+\u221e}$代数。在合适的动力学参考系（称为Weyl参考系）中，对演化比安基恒等式进行直接积分。在该参考系中，（线性）高自旋电荷括号的提取与渐近类空情况类似，只是角点度量会随时间发生非平凡演化。换句话说，由于边界条件在类空无穷远处被冻结的边界自由度，现在成为动力学的一部分。这一特征体现为括号中出现非局域项。为避免电荷括号中出现这些非局域项，我们将这种仅编码角点度量历史的非局域性吸收到高自旋电荷的定义中。此外，还提出了有限距离处记忆效应的新视角。综上，我们认为该处理方法也可应用于渐近(A)dS$_4$时空，其中非零宇宙学常数的存在会引入宇宙学参考系。
英文摘要
In this manuscript we derive the $w_{1+\infty}$ algebra on an arbitrary null hypersurface located at finite distance. A straightforward integration of the evolution Bianchi identities is performed in a suitable dynamical reference frame, dubbed the Weyl reference frame. In this reference frame, the extraction of the (linear) higher spin charge bracket is similar to the asymptotic null case, except that the corner metric evolves non trivially in time. In other words, boundary degrees of freedom that are frozen at null infinity due to the boundary conditions now become part of the dynamics. This feature is reflected in the appearance of non-local terms in the brackets. In order to avoid the presence of these non-local terms in the charge bracket, we absorb this non-locality - which encodes nothing other than the history of the corner metric - into the definition of the higher spin charges. Moreover, a new perspective on the memory effect at finite distance is suggested. In conclusion, we believe that this treatment can also be applied to asymptotically (A)dS$_{4}$ spacetimes, where the presence of a non-vanishing cosmological constant leads to the introduction of a cosmological reference frame.
