论文标题
转向BMS指控和Lorentz集团
Subleading BMS Charges and The Lorentz Group
论文作者
论文摘要
扩展的BMS组包括超级倾斜,双重超级译本和洛伦兹的变换。这些对称性的发电机可以根据其平等分类为“电动”和“磁性”类型。利用纽曼 - 芬罗形式主义中引力来源的多极扩展,我们将这些电荷中的每一个与特定时刻相关联。在领先顺序,“电动”和“磁性”单极力矩分别对应于超译和双重译本。在第一个转向顺序的情况下,“电气”和“磁性”偶极矩分别对应于增强和旋转,因此包括整个Lorentz组。然后,二元性的电磁类型将增强和旋转发生器旋转旋转。
The extended BMS group includes supertranslation, dual supertranslation and Lorentz transformations. The generators of these symmetries can be classified according to their parity into "electric" and "magnetic" types. Using a multipole expansion of gravitational sources in the Newman-Penrose formalism, we associate each one of these charges with a particular moment. At leading order, the "electric" and "magnetic" monopole moments correspond respectively to supertranslations and dual supertranslations. At the first subleading order, the "electric" and "magnetic" dipole moments correspond respectively to boosts and rotations, therefore comprising the entire Lorentz group. Electric-magnetic type of duality then rotates the boost and rotation generators into each other.