Ten dimensional symmetry of N=4 SYM correlators

Abstract

We consider four-point correlation functions of protected single-trace scalar operators in planar N = 4 supersymmetric Yang-Mills (SYM). We conjecture that all loop corrections derive from an integrand which enjoys a ten-dimensional symmetry. This symmetry combines spacetime and R-charge transformations. By considering a 10D light-like limit, we extend the correlator/amplitude duality by equating large R-charge octagons with Coulomb branch scattering amplitudes. Using results from integrability, this predicts new finite amplitudes as well as some Feynman integrals.

34 pages + appendices, 16 figures

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Cited by in corpus (13)

• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Integrated correlators in $\mathcal{N}=4$ super Yang-Mills and periods
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges
• Non-planar integrated correlator in $\mathcal{N}=4$ SYM
• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• Stampedes II: Null Polygons in Conformal Gauge Theory
• Antipodal self-duality of square fishnet graphs
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• On Solving Dual Conformal Integrals in Coulomb-branch Amplitudes and Their Periods
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons