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Celestial 1-form symmetries

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The $S$-algebra originally arose as a chiral algebra of asymptotic symmetries of Yang-Mills theory. We show that in the self-dual sector of Yang-Mills, the $S$-algebra gets upgraded to an infinite-dimensional algebra of $1$-form symmetries in the bulk. The associated 2-form currents encode the integrability and hierarchies of self-dual Yang-Mills. As an application, we prove the equality of Carrollian corner charges with modes of the celestial chiral algebra by expressing them as integrals of the same 2-form currents over homologous 2-cycles.

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2026 1

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Quasi-Local Celestial Charges and Multipoles

hep-th · 2026-04-14 · unverdicted · novelty 6.0

Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.

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  • Quasi-Local Celestial Charges and Multipoles hep-th · 2026-04-14 · unverdicted · none · ref 89 · internal anchor

    Explicit quasi-local formulae for celestial higher-spin charges and multipoles are given on finite 2-surfaces using higher-valence twistor solutions, with a phase-space derivation from self-dual gravity.