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We compare and contrast the two approaches of holography in asymptoticallyflat spacetimes, viz. the co-dimension two Celestial approach based on theMellin transformation and the co-dimension one Carrollian approach based on themodified Mellin and elucidate how some of the problems of the Celestialapproach can be rectified by the Carrollian one. Considering flat holography asa limit from AdS/CFT makes a co-dimension one dual more plausible, and ourprevious construction of Carrollian correlations from AdS Witten diagrams istestimony to this. In this paper, we show how to generalize our earlieranalysis for operators with spin. We work out a large number of explicitnon-trivial examples (twelve) and show matching between the limit of AdS$_4$Witten diagrams and 3d boundary symmetry considerations, thus making the casefor the Carrollian dual even stronger.

Holography in Flat Spacetimes: the case for Carroll