论文标题

Bondi仪表中的渐近对称性和亚串联软重力定理

Asymptotic symmetries in Bondi gauge and the sub-subleading soft graviton theorem

论文作者

Horn, Bart

论文摘要

我们研究了保留邦迪量规条件的渐近对称性,但不能保留零边界附近度量的渐近衰减条件,以及它们与软重力定理的连接以散射幅度。其中包括通过平滑矢量字段$ y^{a} $ corceying $ d_ {a} y^{a} = 0 $参数参数的一般级头对称性,为此我们表明可以通过将Noether程序应用于Einstein-Katz动作来得出。我们还讨论了渐近对称性和与亚公开的软定理相关的保守电荷之间的联系,我们发现在邦迪量规中,这种电荷是通过差异性的结合以及度量的额外转换而产生的。

We investigate asymptotic symmetries which preserve the Bondi gauge conditions but do not preserve the asymptotic falloff conditions for the metric near the null boundary, and their connection to soft graviton theorems for scattering amplitudes. These include generalized superrotation symmetries parameterized by a smooth vector field $Y^{A}$ obeying $D_{A}Y^{A} = 0$, for which we show that the associated conserved charge can be derived by applying the Noether procedure to the Einstein-Katz action. We also discuss the connection between asymptotic symmetries and the conserved charge associated with the sub-subleading soft theorem, and we find that in Bondi gauge this charge is generated by the combination of a diffeomorphism together with an extra transformation of the metric.

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