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.
w(1+infinity) and the Celestial Sphere
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Higher spin particles generate w_∞ and S-algebra subalgebras inside the soft holographic symmetry algebra that do not commute with the graviton and gluon versions.
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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.
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Note on higher spins and holographic symmetry algebra
Higher spin particles generate w_∞ and S-algebra subalgebras inside the soft holographic symmetry algebra that do not commute with the graviton and gluon versions.