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.
Celestial operator products of gluons and gravitons
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Celestial OPEs require shadow-basis exchanges of the same bulk particles for consistency, with coefficients fixed by a universal shadow factor.
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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Shadow Completion in Celestial OPEs
Celestial OPEs require shadow-basis exchanges of the same bulk particles for consistency, with coefficients fixed by a universal shadow factor.
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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.