Higher-Point Correlators in N=4 SYM: Generating Functions
Abstract
We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor multiplet with those of all higher R-charge single-trace half-BPS scalar operators, thereby extending previous results for four-point loop integrands. At the integrated level, they are represented as sums of conformal integrals with coefficients exhibiting ten-dimensional poles that combine spacetime and R-charge distances. Our results show that higher-order poles are captured by products of lower-point generating functions. We also extract new OPE data on spinning structure constants, and compare these to integrability-based computations, finding good agreement.
Cite
@article{arxiv.2509.14332,
title = {Higher-Point Correlators in N=4 SYM: Generating Functions},
author = {Till Bargheer and Albert Bekov and Carlos Bercini and Frank Coronado},
journal= {arXiv preprint arXiv:2509.14332},
year = {2026}
}
Comments
60 pages + data files. v2: typos fixed, hyperlinks added. v3: typos, glossary of anc files, published version