w 1 + ∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries

Strominger, Andrew

doi:10.1103/PhysRevLett.127.221601

Title: $w_{1 + \infty}$ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries

Journal Article · Mon Nov 22 00:00:00 EST 2021 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.127.221601· OSTI ID:1832049

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 $w_{1 + \infty}$ , which naturally acts on the celestial sphere at null infinity. The infinite towers of soft photon or gluon symmetries also transform irreducibly under $w_{1 + \infty}$ .

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: de-sc/0007870; SC0007870

OSTI ID:: 1832049

Alternate ID(s):: OSTI ID: 1980235

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Vol. 127 Journal Issue: 22; ISSN 0031-9007

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
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general relativity
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Title: w 1 + ∞ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries

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Title: $w_{1 + \infty}$ Algebra and the Celestial Sphere: Infinite Towers of Soft Graviton, Photon, and Gluon Symmetries