w(1+infinity) Algebra with a Cosmological Constant and the Celestial Sphere
Abstract
It is shown that in the presence of a nonvanishing cosmological constant, Strominger's infinite-dimensional w1+∞ 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 dS4 or AdS4, depending on the sign of the cosmological constant. The transformation properties of soft gauge symmetry currents under the deformed w1+∞ are also discussed.
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