A Proof of the Supersymmetric Correlation Function / Wilson Loop Correspondence

Abstract

We prove that in the limit when its insertion points become pairwise null-separated, the ratio of certain n-point correlation functions in N=4 SYM is equal to a supersymmetric Wilson loop on twistor space, acting in the adjoint representation. In the planar limit, each of these objects reduces to the square of the complete n-particle planar superamplitude. Our proof is at the level of the integrand.

Published version, clarifications and references added

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Cited by in corpus (50)

• The super-correlator/super-amplitude duality: Part I
• Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM
• Constructing the correlation function of four stress-tensor multiplets and the four-particle amplitude in N=4 SYM
• Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps
• Scattering Amplitudes and Wilson Loops in Twistor Space
• The super-correlator/super-amplitude duality: Part II
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality
• Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
• Scattering Amplitudes/Wilson Loop Duality In ABJM Theory
• The Correlahedron
• From the Holomorphic Wilson Loop to `d log' Loop-Integrands of Super-Yang-Mills Amplitudes
• From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited
• Composite Operators in the Twistor Formulation of $\mathcal{N}=4$ SYM Theory
• Scattering in ABJ theories
• Descent equations for superamplitudes
• All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space
• Twistor methods for AdS${}_5$
• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
• Amplitudes of 3d Yang Mills Theory
• Correlation functions, null polygonal Wilson loops, and local operators
• From Polygon Wilson Loops to Spin Chains and Back
• Bootstrapping correlation functions in N=4 SYM
• Wilson Loops @ 3-Loops in Special Kinematics
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Equivalence of Wilson Loops in ABJM and N = 4 SYM Theory
• On Form Factors and Correlation Functions in Twistor Space
• On correlation functions of Wilson loops, local and non-local operators
• Twistor actions for gauge theory and gravity
• Composite operators and form factors in N=4 SYM
• The 4d/2d correspondence in twistor space and holomorphic Wilson lines
• Amplituhedra, and Beyond
• N=4 super-Yang-Mills in LHC superspace. Part II: Non-chiral correlation functions of the stress-tensor multiplet
• Amplituhedron-like geometries
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• Dual conformal symmetry on the light-cone
• Multi-Particle Amplitudes from the Four-Point Correlator in Planar N=4 SYM
• Twistor fishnets
• Space-time CFTs from the Riemann sphere
• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• Local integrands for the five-point amplitude in planar N=4 SYM up to five loops
• Twistor action for general relativity
• Twistors, Harmonics and Holomorphic Chern-Simons
• Leading singularities and chambers of Correlahedron
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• Lectures on twistor theory
• On Solving Dual Conformal Integrals in Coulomb-branch Amplitudes and Their Periods
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
• Gravity Amplitudes from a Gaussian Matrix Model