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A Shorter Path to Celestial Currents
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abstract
Here we consider what happens when we lift a codimension-1 slice of the celestial sphere to a codimension-1 slice of the bulk spacetime in a manner that respects our ability to quotient by the null generators of $\mathcal{I}^\pm$ to get to our codimension-2 hologram. The contour integrals of the 2D currents for the celestial symmetries lift to the standard boundary integrals of the 2-form generators for the gauge theory and celestial Ward identities follow directly from Noether's theorem.
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Cited by 1 Pith paper
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S-algebra in Gauge Theory: Twistor, Spacetime and Holographic Perspectives
The celestial S-algebra is shown to unify the twistor, null-infinity, and twisted-holography descriptions of self-dual Yang-Mills, with new two-helicity charges and a nonlinear extrapolate dictionary.
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