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Celestial Locality and the Jacobi Identity

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arxiv 2211.09151 v2 pith:SIIQ4YGY submitted 2022-11-16 hep-th

Adam Ball This is my paper
classification hep-th
keywords celestialjacobisoftidentityinsertionsalongamplitudesargue
verification ladder T0 review T1 audit T2 compute T3 formal
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We show the equivalence of several different tests of the Jacobi identity for celestial currents at tree level, in particular finding a simple, practical condition on hard momentum space 4-point amplitudes in any EFT. Along the way we clarify the role of the order of soft and collinear limits in obstructing Jacobi for soft insertions and we argue that, despite their current-algebra-like properties, soft insertions as formulated in this paper cannot be interpreted as local operators in celestial conformal field theory.

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Cited by 4 Pith papers

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

  1. Light-Front approach to $4d$ massless Higher-Spin interactions

    hep-th 2026-07 conditional novelty 7.5 of 10

    Solving Poincaré-algebra closure at quartic order yields infinitely many local 4d massless higher-spin theories (finite or infinite spectra), classifies chiral one-/two-derivative models, and determines all local unit...

  2. Soft Algebras via Bulk Double Soft Limits

    hep-th 2026-07 unverdicted novelty 6.0 of 10

    Bulk double soft limits of gravitational amplitudes fail to reproduce the recursive generation of higher-order soft theorems that celestial soft algebras suggest from the first three terms alone.

  3. Non-abelian soft radiation data for a celestial theory

    hep-th 2025-12 conditional novelty 6.0 of 10

    Non-abelian soft-emission data imply that celestial OPE coefficients depend on gluon energy fractions, breaking holomorphic factorization and associativity, while single-soft logarithms can be reabsorbed into the runn...

  4. Associativity of celestial OPE, higher spins and self-duality

    hep-th 2025-08 conditional novelty 6.0 of 10

    Celestial OPE associativity, the Jacobi identity of a vertex-derived gauge algebra, vanishing four-point amplitudes, and the light-cone holomorphic constraint are shown to be the same consistency condition, solved for...

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