Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, Campus Plaine C.P. 231, B-1050 Bruxelles, Belgium.
Phys Rev Lett. 2010 Sep 10;105(11):111103. doi: 10.1103/PhysRevLett.105.111103. Epub 2010 Sep 8.
It is shown that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semidirect sum of supertranslations with infinitesimal local conformal transformations and not, as usually done, with the Lorentz algebra. As a consequence, two-dimensional conformal field theory techniques will play as fundamental a role in this context of direct physical interest as they do in three-dimensional anti-de Sitter gravity.
研究表明,在 4 维的无穷远渐近平坦时空中的对称代数应该被视为超平移与无穷小局部共形变换的半直接和,而不是通常与洛伦兹代数那样。因此,二维共形场论技术在这个直接物理兴趣的背景中,将像在三维反德西特引力中那样发挥基本作用。