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Flat-space structure of gluon and graviton in AdS

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arxiv 2212.13195 v3 pith:KMCV6FP3 submitted 2022-12-26 hep-th gr-qc

Yue-Zhou Li This is my paper · ORCID
classification hep-thgr-qc
keywords differentialamplitudesfour-pointcopyflat-spacelevelrelationthree-point
verification ladder T0 review T1 audit T2 compute T3 formal

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We report the differential representation of three-point and four-point amplitudes for Yang-Mills fields and Einstein gravity in AdS at tree-level. The amplitudes exhibit the flat-space structures by using the weight-shifting operators with reordering, which makes the differential double copy relation at the three-point level straightforward. For four-point Yang-Mills amplitudes, we establish the differential BCJ relation, which can be useful for proving the differential doubly copy at the four-point level in the future.

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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. Gleaning gravitational amplitudes -- a double copy for canceling dilatons

    hep-th 2025-01 conditional novelty 7.0 of 10

    An asymmetric double copy with a ghost-like sqrt-dilaton cancels dilaton contaminations in tree-level GR amplitudes with massive scalars up to six points, leaving a residual bubble ambiguity at one loop.

  2. Differential Representation for Carrollian Correlators

    hep-th 2024-11 conditional novelty 7.0 of 10

    Scalar Carrollian correlators admit a differential representation in which exchange diagrams are obtained from contact diagrams by commuting translation operators, matching the modified Mellin transform of flat-space ...

  3. Infinite towers of 2d symmetry algebras from Carrollian limit of 3d CFT

    hep-th 2025-08 conditional novelty 6.0 of 10

    The Carrollian limit of CFT3 operator products yields towers of sl(2,C) blocks that reproduce conformally soft photon and graviton theorems and the S and w1+∞ celestial symmetry algebras.

  4. Flat limit of AdS/CFT from AdS geodesics: scattering amplitudes and antipodal matching of Li\'enard-Wiechert fields

    hep-th 2024-11 conditional novelty 6.0 of 10

    Flat-space S-matrix elements and Liénard-Wiechert antipodal matching are shown to arise from AdS geodesics that hit the AdS conformal boundary at specific global times.

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