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Carrollian $Lw_{1+\infty}$ representation from twistor space

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arxiv 2402.00688 v2 pith:HN7OCKKO submitted 2024-02-01 hep-th gr-qc

Laura Donnay , Laurent Freidel , Yannick Herfray This is my paper · ORCID
classification hep-thgr-qc
keywords actioninftyspacealgebrarepresentationtwistorasymptoticcanonical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We construct an explicit realization of the action of the $Lw_{1+\infty}$ loop algebra on fields at null infinity. This action is directly derived by Penrose transform of the geometrical action of $Lw_{1+\infty}$ symmetries in twistor space, ensuring that it forms a representation of the algebra. Finally, we show that this action coincides with the canonical action of $Lw_{1+\infty}$ Noether charges on the asymptotic phase space.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity

    hep-th 2026-07 conditional novelty 7.0 of 10

    The Kerr soft exponent generates a parity-alternating hierarchy of null-infinity frame generators—displacement memory at s=0, spin memory at s=1, and higher moments alternating by Kerr multipole parity—realized as the...

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  4. Foundational Structure of Local Amplitudes in Quantum Gravity

    gr-qc 2025-08 conditional novelty 6.0 of 10

    Local amplitudes for causal diamonds can be constructed from null-slab boundary states, projectors, and vacuum intertwiners, with Ward identities and charge conservation as consequences.

  5. $w_{1+\infty}$ as the Frame Algebra of Kerr Soft Dressing

    hep-th 2026-07 conditional novelty 5.0 of 10

    Kerr soft dressing exponentiates into a parity-alternating tower of frame shifts whose chiral-projected composition law is the w1+∞ bracket, solved in closed form for aligned spin.

  6. Celestial Chiral Algebras and Self-Dual Gravity

    hep-th 2025-07 conditional novelty 4.0 of 10

    This thesis derives deformations of celestial chiral algebras in self-dual gravity on curved backgrounds, obtaining W(infinity) on Eguchi-Hanson space, Ldiff_q(C) under Moyal deformation, and a two-parameter deformati...

  7. Lectures on Carrollian Holography

    hep-th 2025-11 conditional novelty 3.0 of 10

    Massless scattering amplitudes, including gravitons, can be recast as correlators of a carrollian conformal field theory on null infinity, but the non-perturbative bootstrap program remains incomplete.

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