Fuentealba Oscar, Henneaux Marc, Troessaert Cédric
Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine CP231, B-1050 Brussels, Belgium.
Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France.
Phys Rev Lett. 2023 Sep 15;131(11):111402. doi: 10.1103/PhysRevLett.131.111402.
The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincaré algebra and of an infinite-dimensional Abelian algebra (with central charge) that includes the Bondi-Metzner-Sachs supertranslations. This result, obtained within the Hamiltonian formalism, yields a supertranslation-invariant definition of the Lorentz generators (angular momentum and boosts). Definitions of Lorentz generators free from the "supertranslation ambiguities" have also been proposed recently at null infinity. We prove the equivalence of the two approaches for redefining the charges.
最近已经证明，在渐近平坦背景下，四维爱因斯坦引力的渐近对称代数是庞加莱代数与一个包含邦迪-梅茨纳-萨克斯超平移的无限维阿贝尔代数（带有中心荷）的直和。这个在哈密顿形式体系中得到的结果，给出了洛伦兹生成元（角动量和推进）的超平移不变定义。最近在类光无穷远处也提出了摆脱“超平移模糊性”的洛伦兹生成元定义。我们证明了重新定义荷的这两种方法是等价的。
