Derives finite-energy hard celestial current algebra and its one-cocycle from the BMS dipole Ward identity, mapping the hard-hard residue to a two-particle primary module via Plancherel transform.
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7 Pith papers cite this work. Polarity classification is still indexing.
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Constructs Carrollian OPEs that govern short-distance behavior, extends representation theory for composites, and classifies 2-, 3-, and 4-point correlators/amplitudes under Carrollian symmetry.
The work identifies a broader class of 2D Carrollian CFT correlators that encode massive 3D Minkowski S-matrices and constructs the corresponding bulk-to-boundary propagator.
Bulk local states are built in flat holography via induced representations, with a dual basis resolving 3D bra-ket scaling issues and a tilde basis enabling explicit constructions in higher dimensions that recover the massive propagator.
Observables in Schrödinger CFTs have zero mass and transform in staggered pyramid representations built from alien operators, generalizing exceptional symmetry conservation laws.