BMS群理论的几何入门
A geometrical invitation to BMS group theory
AI总结：
本文通过几何方法介绍BMS群理论，探讨其在任意维度中的定义、结构及与Minkowski时空的关系。
摘要：
在这些讲义中，提供了自包含的群论介绍，阐述了BMS对称性。更具体地说，所有定义和结构都是基于在任意维度中定义于null无穷远的几何和群论概念，以绕过其传统的bulk实现作为渐近对称性。回顾的主题包括：将BMS变换定义为null无穷远的共形Carroll对称变换，BMS群的半直结构，用good cuts重建Minkowski时空，good cut子空间与庞加莱子群（即真空）之间的一一对应关系，以及BMS群的单位表示的基本介绍。
英文摘要：
In these lecture notes, a group-theoretical introduction to BMS symmetries is provided in a self-contained manner. More precisely, all definitions and structures are purely based on geometrical and group-theoretical notions defined at null infinity and valid in any dimension, in a way that circumvents its traditional bulk realisation as asymptotic symmetries. The topics which are reviewed are: the definition of BMS transformations as conformal Carrollian isometries of null infinity, the semidirect structure of the BMS group, the holographic reconstruction of Minkowski spacetime in terms of good cuts, the one-to-one correspondence between good cut subspaces and Poincaré subgroups (aka vacua), as well as a basic introduction to unitary representations of the BMS group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
