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

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arxiv 2111.11356 v2 pith:I74HOD2Q submitted 2021-11-22 hep-th

classification hep-th
keywords inftyalgebracelestialcouplingsalgebrascertaincommentcompute
verification ladder T0 review T1 audit T2 compute T3 formal
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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 6 Pith papers

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