Asymptotic Four Point Functions

TL;DR

This paper develops a new integrability-based framework to analyze four-point functions of large BPS operators at any coupling, providing a compact formula for asymptotic structure constants in higher rank sectors.

Contribution

It introduces a novel approach combining superconformal symmetry, integrability, and the nested Bethe ansatz to compute four-point functions and structure constants.

Findings

Derived a sum-over-exchange representation for four-point functions.

Incorporated nested Bethe ansatz into the hexagon formalism.

Obtained a compact formula for asymptotic structure constants in higher rank sectors.

Abstract

We initiate the study of four-point functions of large BPS operators at any value of the coupling. We do it by casting it as a sum over exchange of superconformal primaries and computing the structure constants using integrability. Along the way, we incorporate the nested Bethe ansatz structure to the hexagon formalism for the three-point functions and obtain a compact formula for the asymptotic structure constant of a non-BPS operator in a higher rank sector.