Conformal field theory-data analysis for $\mathcal{N} = 4$ Super-Yang-Mills at strong coupling

TL;DR

This paper combines integrability and amplitude computations to analyze the conformal data of 4D $ abla$=4 Super-Yang-Mills at strong coupling, revealing universal patterns and simplifications in OPE coefficients across KK-towers.

Contribution

It introduces a novel approach combining spectral data and amplitude calculations to predict OPE coefficients for entire KK-towers in strong coupling regime.

Findings

Leading order OPE coefficients are identical within each KK-tower.

Many KK-tower states have vanishing leading order OPE coefficients.

The results suggest simplifications in the strong coupling physics of the theory.

Abstract

We analyse the CFT-data of planar 4D $\mathcal{N} = 4$ Super-Yang-Mills theory at strong coupling. By combining spectral data extracted from integrability, with recent advances in computing the AdS Virasoro-Shapiro amplitude, we extract predictions for leading order OPE coefficients on entire Kaluza-Klein (KK-)towers of states. We observe that the appropriately normalised leading order OPE coefficients for all states in a given KK-tower are the same. Furthermore, we also notice that, in many cases, the leading order OPE coefficients of all states in the KK-tower vanish, suggesting a simplification of the physics in this limit.