A shorter path to celestial currents

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 I± to get to our codimension-2 hologram. The contour integrals of the 2D currents for the celestial symmetries lift to boundary integrals of the standard 2-form generators for the gauge theory on this novel choice of surface and celestial Ward identities follow directly from Noether’s theorem.