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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A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
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Finite-energy hard celestial current algebra from the Banerjee--Mandal--Sahoo dipole Ward identity in QED
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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The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.