Faddeev-Kulish dressings correctly encode the memory effect in in and out Fock spaces for massive QED and perturbative quantum gravity, with physical contributions to memory eigenvalues from the dressings.
Soft Algebras in AdS$_4$ from Light Ray Operators in CFT$_3$
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Flat Minkowski space (M$^4$) and AdS$_4$ can both be conformally mapped to the Einstein cylinder. The maps may be judiciously chosen so that some null generators of the $\mathcal{I}^+$ boundary of M$^4$ coincide with antipodally-terminating null geodesic segments on the boundary of AdS$_4$. Conformally invariant nonabelian gauge theories in M$^4$ have an asymptotic $S$-algebra generated by a tower of soft gluons given by weighted null line integrals on $\mathcal{I}^+$. We show that, under the conformal map to AdS$_4$, the leading soft gluons are dual to light transforms of the conserved global symmetry currents in the boundary CFT$_3$. The tower of light ray operators obtained from the $SO(3,2)$ descendants of this light transform realize a full set of generators of the $S$-algebra in the boundary CFT$_3$. This provides a direct connection between holographic symmetry algebras in M$^4$ and AdS$_4$.
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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.
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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Asymptotic charges as detectors and the memory effect in massive QED and perturbative quantum gravity
Faddeev-Kulish dressings correctly encode the memory effect in in and out Fock spaces for massive QED and perturbative quantum gravity, with physical contributions to memory eigenvalues from the dressings.
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Quasi-Local Celestial Charges and Multipoles
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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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.