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

2025/09/17 by Bargheer, Till, Bekov, Albert, Bercini, Carlos +1
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.14332

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.

Citations

• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• Gluing Hexagons at Three Loops
• A planar diagram theory for strong interactions

Cited by

• AdS×S Mellin Bootstrap, Hidden 10d Symmetry and Five-point Kaluza-Klein Functions in N=4 SYM

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