Lightcone Bootstrap at higher points

Abstract

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.

58 pages, 6 figures; v2 Matches published version, typos corrected, additional clarifications, references added

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Cited by in corpus (12)

• Selected Topics in Analytic Conformal Bootstrap: A Guided Journey
• Gravitational orbits, double-twist mirage, and many-body scars
• OPE statistics from higher-point crossing
• Multipoint correlators on the supersymmetric Wilson line defect CFT
• Gaudin Models and Multipoint Conformal Blocks III: Comb channel coordinates and OPE factorisation
• Shadow Celestial Amplitude
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges
• Stampedes II: Null Polygons in Conformal Gauge Theory
• Sparsity in the numerical six-point bootstrap
• Spinors and conformal correlators
• Rebooting quarter-BPS operators in $\mathcal{N}=4$ Super Yang-Mills