Diagonal Form Factors and Hexagon Form Factors II. Non-BPS Light Operator

TL;DR

This paper extends the hexagon bootstrap approach to analyze three-point functions involving non-BPS light operators in $ ext{N}=4$ SYM, confirming a conjecture about volume dependence with finite size corrections.

Contribution

It generalizes previous results to arbitrary rank one sectors and non-BPS operators, proving a conjecture up to leading finite size corrections.

Findings

Confirmed the conjecture of Bajnok, Janik, and Wereszczynski on volume dependence.

Extended analysis to general rank one sectors and non-BPS operators.

Proved results up to leading finite size corrections.

Abstract

We study the asymptotic volume dependence of the heavy-heavy-light three-point functions in the $\mathcal{N}=4$ Super-Yang-Mills theory using the hexagon bootstrap approach, where the volume is the length of the heavy operator. We extend the analysis of our previous short letter 1511.06199 to the general case where the heavy operators can be in any rank one sector and the light operator being a generic non-BPS operator. We prove the conjecture of Bajnok, Janik and Wereszczynski 1404.4556 up to leading finite size corrections.