论文标题
高压和高向冲突
Hypertranslations and Hyperrotations
论文作者
论文摘要
我们研究了扁平空间中爱因斯坦重力的渐近对称性。我们与最近引入的特殊双重零量规合作，而不是Bondi Gauge，其中$ \ Mathscr {i}^{+} $和$ \ Mathscr {i}^{ - } $沿空方向接近。我们发现，超出熟悉的超级倾斜和超级移动的四个新功能，其渐近差异性是与有限表面电荷的讨论相关的。其中两个来自$ v $ - 坐标在$ \ mathscr {i}^{+} $附近的角度依赖的变化。我们称这些高译本和子领先的过度翻译，在$ u $ - 坐标中具有类似的语句，附近$ \ mathscr {i}^{ - } $。还有两个差异$（s^2）$转换，我们称之为过度反向，这些转换属于virasoro超级移动。随着电源定律在无效坐标中的下降和领先顺序的标准度量，我们证明这是详尽的差异列表，其相关的度量参数可以在（有限的）表面电荷中显示。我们计算Barnich-Troessaert支架下渐近杀伤向量的代数，并找到BMS代数的四倍无限概括。
We study the asymptotic symmetries of Einstein gravity in flat space. Instead of Bondi gauge, we work with the recently introduced special double null gauge, in which $\mathscr{I}^{+}$ and $\mathscr{I}^{-}$ are approached along null directions. We find four new functions worth of asymptotic diffeomorphisms beyond the familiar supertranslations and superrotations, which are of relevance in discussions of finite surface charges. Two of these arise from angle-dependent shifts in the $v$-coordinate near $\mathscr{I}^{+}$. We call these hypertranslations and sub-leading hypertranslations, with analogous statements in the $u$-coordinate near $\mathscr{I}^{-}$. There are also two Diff$(S^2)$ transformations, which we call hyperrotations, that are sub-leading to the Virasoro superrotations. With power law fall-offs in the null coordinate and the standard metric on the sphere at leading order, we prove that this is the exhaustive list of diffeomorphisms whose associated metric parameters can show up in the (finite) surface charges. We compute the algebra of the asymptotic Killing vectors under the Barnich-Troessaert bracket, and find a four-fold infinite generalization of the BMS algebra.
