论文标题

对称组未来无限无限I:标量理论

Symmetry group at future null infinity I: Scalar theory

论文作者

Liu, Wen-Bin, Long, Jiang

论文摘要

我们将Minkowski时空中的无质量标量场理论降低到未来的无限无穷大。我们计算了庞加莱通量操作员,可以将其推广并确定为超级倾斜和超级移动发生器。这些发电机显示出具有不同中心电荷的闭合对称代数。在经典的限制中,我们认为代数可以解释为Carrollian歧管的几何对称性,即未来无效无穷大的高表面。我们的方法可用于找到更有趣的Carrollian田野理论。

We reduce the massless scalar field theory in Minkowski spacetime to future null infinity. We compute the Poincaré flux operators, which can be generalized and identified as the supertranslation and superrotation generators. These generators are shown to form a closed symmetry algebra with a divergent central charge. In the classical limit, we argue that the algebra may be interpreted as the geometric symmetry of a Carrollian manifold, i.e., the hypersurface of future null infinity. Our method may be used to find more physically interesting Carrollian field theories.

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