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Lightcone Bootstrap at higher points

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arxiv 2111.05453 v2 pith:KVY6RUZJ submitted 2021-11-09 hep-th

classification hep-th
keywords functionslightconeoperatorsbootstraphigher-pointinvolvingspinningblock
verification ladder T0 review T1 audit T2 compute T3 formal
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Higher-point functions of scalar operators are a rich observable in CFTs, as they contain OPE data involving multiple spinning operators. We derive the lightcone blocks for five- and six-point functions in the snowflake channel and use them to bootstrap these correlators in the lightcone limit. As a result we determine the large spin expansion of OPE coefficients involving two or three spinning operators. We verify our results by comparing to the block decomposition of higher-point functions in generalized free theory and in theories with a cubic coupling.

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Cited by 3 Pith papers

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

  1. Dissecting supergraviton six-point function with lightcone limits and chiral algebra

    hep-th 2025-02 conditional novelty 7.0 of 10

    A bootstrap combining lightcone OPEs with chiral algebra and a topological twist determines the six-point supergraviton Mellin amplitude in AdS5 x S5 up to an overall constant, passing a flat-space KLT check.

  2. Composite operators in $\mathcal{N}=4$ Super Yang-Mills

    hep-th 2024-12 conditional novelty 6.0 of 10

    Protected symmetry data alone fix the tree-level supergravity correlators of dimension-four double-trace operators, revealing anomalous dimensions for triple-trace operators.

  3. Lorentzian OPE Inversion Formula: A Geometric Perspective

    hep-th 2025-01 conditional novelty 5.0 of 10

    The Mellin transform of a Radon-transformed (auxiliary) four-point function reproduces the Lorentzian OPE partial wave amplitudes, giving a geometric projection-slice interpretation.

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