Lightcone bootstrap at higher points

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.

Automated summary

This study focuses on higher-point functions of scalar operators in CFTs, exploring OPE data involving multiple spinning operators. The lightcone blocks for five- and six-point functions in the snowflake channel are derived and used to analyze these correlators in the lightcone limit. The large spin expansion of OPE coefficients involving two or three spinning operators is determined. Results are verified by comparing with the block decomposition of higher-point functions in generalized free theory and in theories with a cubic coupling.