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arXiv · 2509.14332

Higher-Point Correlators in N=4 SYM: Generating Functions

Till Bargheer·Albert Bekov·Carlos Bercini·Frank Coronado
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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.

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Till Bargheer, Albert Bekov, Carlos Bercini, Frank Coronado. 2025-09-17. Higher-Point Correlators in N=4 SYM: Generating Functions. https://doi.org/10.1007/jhep02(2026)161

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