Abstract
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 w_{1+∞}, which naturally acts on the celestial sphere at null infinity. The infinite towers of soft photon or gluon symmetries also transform irreducibly under w_{1+∞}.
Highlights
Introduction.—A central problem in physics is to find all the fundamental nontrivial symmetries of nature implied by all the experimentally verified physical laws
In the 1960s BMS [1,2] showed that the answer cannot be so simple because there is no sense in which the diffeomorphism group of general relativity (GR) in asymptotically flat spacetimes can be reduced to the Poincare group
They did not either identify an alternate larger asymptotic symmetry group of the full past and future spacetime or associate any observable conservation laws. This problem has been translated into the language of quantum field theory and Feynman diagrams where it becomes equivalent to identifying soft theorems
Summary
They did not (due to uncertainties about the structure of asymptotic infinity) either identify an alternate larger asymptotic symmetry group of the full past and future spacetime or associate any observable conservation laws This problem has been translated into the language of quantum field theory and Feynman diagrams where it becomes equivalent to identifying soft theorems. In this work plushelicity soft symmetries were compactly represented by 2D (higher-spin) currents in the celestial conformal field theory (CCFT)
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