English

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

High Energy Physics - Theory 2023-12-12 v2 General Relativity and Quantum Cosmology

Abstract

It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional w1+\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) SO(1,4) or SO(2,3)SO(2,3) symmetry groups of dS4\text{dS}_4 or AdS4\text{AdS}_4, depending on the sign of the cosmological constant. The transformation properties of soft gauge symmetry currents under the deformed w1+\mathrm{w_{1+\infty}} are also discussed.

Keywords

Cite

@article{arxiv.2312.00876,
  title  = {w(1+infinity) Algebra with a Cosmological Constant and the Celestial Sphere},
  author = {Tomasz R. Taylor and Bin Zhu},
  journal= {arXiv preprint arXiv:2312.00876},
  year   = {2023}
}
R2 v1 2026-06-28T13:38:48.544Z