Tailoring Three-Point Functions and Integrability

TL;DR

This paper employs integrability methods to compute three-point functions in N=4 SYM, involving cutting and sewing spin chains, and explores the classical limit for string correlator predictions.

Contribution

It introduces a novel integrability-based approach to calculate structure constants and analyzes their classical limit in N=4 SYM.

Findings

Computed structure constants at leading order using integrability.

Developed a method to cut and sew spin chains for three-point functions.

Discussed the classical limit and potential string theory implications.

Abstract

We use Integrability techniques to compute structure constants in N=4 SYM to leading order. Three closed spin chains, which represent the single trace gauge-invariant operators in N=4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the three-point function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string correlators in terms of algebraic curves.