A free-field 2d CFT realization of the chiral bms4 algebra is constructed, with vertex operators for graviton and scalar primaries whose OPEs exactly reproduce those from conformal gravity MHV amplitudes.
Quantization and representation theory of finite W algebras
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Celestial dual of conformal gravity MHV amplitudes: an OPE analysis
A free-field 2d CFT realization of the chiral bms4 algebra is constructed, with vertex operators for graviton and scalar primaries whose OPEs exactly reproduce those from conformal gravity MHV amplitudes.