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arxiv: 2503.15607 · v3 · submitted 2025-03-19 · ✦ hep-th

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Operator Product Expansion in Carrollian CFT

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classification ✦ hep-th
keywords carrollianamplitudesconformalcorrelatorsexpansionextendoperatorpoint
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Carrollian conformal field theory offers an alternative description of massless scattering amplitudes, that is holographic in nature. In an effort to build a framework that is both predictive and constraining, we construct operator product expansions (OPE) that are compatible with carrollian symmetries. In this way, we unify and extend preliminary works on the subject, and demonstrate that the carrollian OPEs indeed control the short-distance expansion of carrollian correlators and amplitudes. In the process, we extend the representation theory of carrollian conformal fields such as to account for composite operators like the carrollian stress tensor or those creating multiparticle states. In addition we classify 2- and 3-point carrollian correlators and amplitudes with complex kinematics, and give the general form of the 4-point function allowed by symmetry.

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Cited by 3 Pith papers

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

  1. On Carrollian Loop Amplitudes for Gauge Theory and Gravity

    hep-th 2026-04 unverdicted novelty 6.0

    Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.

  2. The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems

    hep-th 2026-03 unverdicted novelty 6.0

    A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.

  3. On Carrollian Loop Amplitudes for Gauge Theory and Gravity

    hep-th 2026-04 unverdicted novelty 5.0

    Loop-level Carrollian amplitudes in gauge theory and gravity preserve tree-level structures, show logarithmic dependence in the eikonal regime, and factorize to yield an IR-safe definition.