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It is shown that the infinite tower of tree-level 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+infinity).
1903
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M. Pate, A.-M. Raclariu, and A. Strominger, “Conformally Soft Theorem in Gauge Theory,” Phys. Rev. D
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A. Strominger, “On BMS Invariance of Gravitational Scattering,” JHEP
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2015
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1991
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C. N. Pope, X. Shen, K. W. Xu, and K.-j. Yuan, “SL(infinity,R) symmetry of quantum W(infinity) gravity,” Nucl. Phys. B
1992
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1995
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1996
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2018
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Z.-Z. Li, H.-H. Lin, and S.-Q. Zhang, “Infinite soft theorems from gauge symmetry,” Physical Review D
2018
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P. Kravchuk and D. Simmons-Duffin, “Light-ray operators in conformal field theory,” JHEP
2018
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S. Banerjee, S. Ghosh, and P. Paul, “Mhv graviton scattering amplitudes and current algebra on the celestial sphere,” Journal of High Energy Physics
2021
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