It is shown that the infinite tower of tree-level plus-helicity soft graviton symmetries in asymptotically flat 4D quantum gravity can be organized into a single chiral 2D Kac-Moody symmetry based on the wedge algebra of ${\mathrm{w}}_{1+\infty }$, which naturally acts on the celestial sphere at null infinity. The infinite towers of soft photon or gluon symmetries also transform irreducibly under ${\mathrm{w}}_{1+\infty }$.

中文翻译：

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w1+∞代数和天球：软引力、光子和胶子对称的无限塔

结果表明，渐近平坦的 4D 量子引力中的无限塔树级正螺旋软引力子对称性可以组织成基于楔形代数的单手征二维 Kac-Moody 对称性。 ${\mathrm{瓦}}_{1+\infty }$，自然作用于零无穷远的天球。软光子或胶子对称的无限塔也在${\mathrm{瓦}}_{1+\infty }$.