Deformed $w_{1+\infty }$ Algebras in the Celestial CFT

Abstract

We compute the modification of the $w_{1+\infty }$ algebra of soft graviton, gluon and scalar currents in the celestial CFT due to non-minimal couplings. We find that the Jacobi identity is satisfied only when the spectrum and couplings of the theory obey certain constraints. We comment on the similarities and essential differences of this algebra to $W_{1+\infty }$.

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Cited by in corpus (2)

• A General Hierarchy of Charges at Null Infinity via the Todd Polynomials
• Loop corrections versus marginal deformation in celestial holography