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arXiv 2609.11785hep-th

对数超平移作为引力在零无穷远处的渐近对称性

Logarithmic supertranslations as asymptotic symmetries of gravity at null infinity

  • Instituto de Ciencias Exactas y Naturales (ICEN), Universidad Arturo Prat(阿图罗·普拉特大学精确科学与自然学院)
  • Facultad de Ciencias, Universidad Arturo Prat(阿图罗·普拉特大学理学院)
  • Université Libre de Bruxelles and International Solvay Institutes(布鲁塞尔自由大学与国际索尔维研究所)
  • Collège de France, Université PSL(法兰西公学,巴黎文理研究大学)

机构由 AI 辅助整理,请以论文原文为准。

Oscar Fuentealba, Marc Henneaux, Sébastien Robert, Céline Zwikel

AI总结:

本文证明对数超平移在零无穷远处也是引力场的对称性,且其荷在空间与零无穷远交汇处匹配,从而确立渐近对称群包含对数超平移。

AI中文摘要:

最近已证明对数超平移是空间无穷远处引力场的对称性。我们通过明确证明它们也是零无穷远处的对称性来扩展这项工作。我们还表明,对数超平移荷在空间无穷远与零无穷远交汇的“角落”处相匹配。这充分确立了在渐近平坦背景下,引力的渐近对称群包含对数超平移。

英文摘要:

Logarithmic supertranslations have been shown recently to be symmetries of the gravitational field at spatial infinity. We extend this work by proving explicitly that they are also symmetries at null infinity. We also show that the logarithmic supertranslation charges match at the ``corner" where spatial infinity and null infinity meet. This fully establishes that the asymptotic symmetry group of gravity in the asymptotically flat context contains the logarithmic supertranslations.

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