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w(1+infinity) Algebra with a Cosmological Constant and the Celestial Sphere

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arxiv 2312.00876 v2 pith:XB2B5COE submitted 2023-12-01 hep-th gr-qc

Tomasz R. Taylor , Bin Zhu This is my paper · ORCID
classification hep-thgr-qc
keywords algebraconstantcosmologicaldeformedinftymathrmsoftsymmetry
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abstract

It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional $\mathrm{w_{1+\infty}}$ algebra of soft graviton symmetries is modified in a simple way. The deformed algebra contains a subalgebra generating $ SO(1,4)$ or $SO(2,3)$ symmetry groups of $\text{dS}_4$ or $\text{AdS}_4$, depending on the sign of the cosmological constant. The transformation properties of soft gauge symmetry currents under the deformed $\mathrm{w_{1+\infty}}$ are also discussed.

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Cited by 7 Pith papers

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  1. Infinite Symmetry Algebras in Four-Dimensional Conformal Field Theories

    hep-th 2026-07 conditional novelty 7.0 of 10

    Universal light-ray operators from the stress tensor generate the wedge subalgebra of w_{1+∞} in generic interacting 4D CFTs, with finite one-point functions matching the full tower of soft graviton and gluon factors.

  2. Twistorial chiral algebras in higher dimensions

    hep-th 2025-01 accept novelty 7.0 of 10

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  4. Symmetries of the Celestial Supersphere

    hep-th 2024-12 conditional novelty 7.0 of 10

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