Lightcone Bootstrap at higher points

TL;DR

This paper develops lightcone blocks for five- and six-point scalar correlators in conformal field theories, enabling the bootstrap of these functions and revealing large spin OPE coefficient behaviors involving multiple spinning operators.

Contribution

It derives new lightcone blocks for higher-point functions and applies them to bootstrap these correlators in the lightcone limit, advancing understanding of multi-spinning operator interactions.

Findings

Large spin expansion of OPE coefficients involving multiple spinning operators

Verification of results through generalized free theory and cubic coupling models

Extension of bootstrap techniques to five- and six-point functions

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.