More on the duality correlators/amplitudes

Abstract

We continue the study of n-point correlation functions of half-BPS protected operators in N=4 super-Yang-Mills theory, in the limit where the positions of the adjacent operators become light-like separated. We compute the l-loop corrections by making l Lagrangian insertions. We argue that there exists a simple relation between the (n+l)-point tree-level correlator with l Lagrangian insertions and the integrand of the n-particle l-loop MHV scattering amplitude, as obtained by the recent momentum twistor construction of Arkani-Hamed et al. We present several examples of this new duality, at one and two loops.

14 pages Latex, 1 figure

References in corpus (14)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Notes on the scattering amplitude / Wilson loop duality
• From correlation functions to scattering amplitudes
• Two-Loop Iteration of Five-Point N=4 Super-Yang-Mills Amplitudes
• Iterative Structure Within The Five-Particle Two-Loop Amplitude
• Are scattering amplitudes dual to super Wilson loops?
• Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory

Cited by in corpus (59)

• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• The super-correlator/super-amplitude duality: Part I
• Leading singularities and off-shell conformal integrals
• 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
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps
• On form factors in N=4 sym
• New differential equations for on-shell loop integrals
• Generic multiloop methods and application to N=4 super-Yang-Mills
• Prescriptive Unitarity
• Scattering Amplitudes and Wilson Loops in Twistor Space
• A Proof of the Supersymmetric Correlation Function / Wilson Loop Correspondence
• The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops
• Are scattering amplitudes dual to super Wilson loops?
• Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality
• On MHV Form Factors in Superspace for $\mathcal{N}=4$ SYM Theory
• General properties of multiparton webs: proofs from combinatorics
• Ten dimensional symmetry of N=4 SYM correlators
• Five-loop Konishi in N=4 SYM
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• The Correlahedron
• Folding Amplitudes into Form Factors: An Antipodal Duality
• 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
• An Operator Product Expansion for Form Factors
• Three-loop universal structure constants in N=4 susy Yang-Mills theory
• Descent equations for superamplitudes
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Amplitudes of 3d Yang Mills Theory
• Bootstrapping correlation functions in N=4 SYM
• From Polygon Wilson Loops to Spin Chains and Back
• Correlation functions, null polygonal Wilson loops, and local operators
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Twistor actions for gauge theory and gravity
• Two-Loop Five-Point Two-Mass Planar Integrals and Double Lagrangian Insertions in a Wilson Loop
• Decagon at Two Loops
• MHV Diagrams from an All-Line Recursion Relation
• Hidden Simplicity of Gauge Theory Amplitudes
• χ-Systems for Correlation Functions
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Amplituhedron-like geometries
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• On Three-point Functions in the AdS_4/CFT_3 Correspondence
• On the Geometry of Null Polygons in Full N=4 Superspace
• Collinear and Soft Limits of Multi-Loop Integrands in N=4 Yang-Mills
• Multi-Particle Amplitudes from the Four-Point Correlator in Planar N=4 SYM
• A Note on Dual MHV Diagrams in N=4 SYM
• 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
• Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
• Logarithmic Singularities and Maximally Supersymmetric Amplitudes
• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
• Leading singularities and chambers of Correlahedron
• Twistors, Harmonics and Holomorphic Chern-Simons
• Perturbative Methods for Superconformal Quantum Field Theories in String - Gauge Theory Dualities
• On Solving Dual Conformal Integrals in Coulomb-branch Amplitudes and Their Periods
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons