The super-correlator/super-amplitude duality: Part II

Abstract

We continue the study of the duality between super-correlators and scattering super-amplitudes in planar N=4 SYM. We provide a number of further examples supporting the conjectured duality relation between these two seemingly different objects. We consider the five- and six-point one-loop NMHV and the six-point tree-level NNMHV amplitudes, obtaining them from the appropriate correlators of strength tensor multiplets in N=4 SYM. In particular, we find exact agreement between the rather non-trivial parity-odd sector of the integrand of the six-point one-loop NMHV amplitude, as obtained from the correlator or from BCFW recursion relations. Together these results lead to the conjecture that the integrands of any N^kMHV amplitude at any loop order in planar N=4 SYM can be described by the correlators of stress-tensor multiplets.

49 pages, 1 figure

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Cited by in corpus (48)

• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• Amplitudes and Correlators to Ten Loops Using Simple, Graphical Bootstraps
• The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops
• The last of the simple remainders
• Perturbation Theory at Eight Loops: Novel Structures and the Breakdown of Manifest Conformality
• All three-loop four-point correlators of half-BPS operators in planar N=4 SYM
• Hexagon Wilson Loop OPE and Harmonic Polylogarithms
• The Exact Effective Couplings of 4D N=2 gauge theories
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• Folding Amplitudes into Form Factors: An Antipodal Duality
• The Correlahedron
• From dlogs to dilogs; the super Yang-Mills MHV amplitude revisited
• From the Holomorphic Wilson Loop to `d log' Loop-Integrands of Super-Yang-Mills Amplitudes
• An Operator Product Expansion for Form Factors
• Maximal $U(1{)}_Y$-violating $n$-point correlators in $\mathcal{N}=4$ super-Yang-Mills theory
• Three-point energy correlator in $\mathcal{N}=4$ super Yang-Mills Theory
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• A note on connected formula for form factors
• Bootstrapping correlation functions in N=4 SYM
• Correlation functions, null polygonal Wilson loops, and local operators
• Perturbative correlation functions of null Wilson loops and local operators
• N=4 super-Yang-Mills in LHC superspace. Part II: Non-chiral correlation functions of the stress-tensor multiplet
• Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
• Conformal anomaly of super Wilson loop
• Amplituhedron-like geometries
• Form Factor and Boundary Contribution of Amplitude
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Dual conformal symmetry on the light-cone
• An analytic superfield formalism for tree superamplitudes in D=10 and D=11
• 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 four-point correlators of half-BPS operators in N=4 SYM
• Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
• Loops, Polytopes and Splines
• Simplifying instanton corrections to N=4 SYM correlators
• On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
• Off-shell amplitudes as boundary integrals of analytically continued Wilson line slope
• Permutation Relations of Yangian Invariants, Unitarity Cuts, and Scattering Amplitudes
• A note on NMHV form factors from the Graßmannian and the twistor string
• Nonplanar On-shell Diagrams and Leading Singularities of Scattering Amplitudes
• Leading singularities and chambers of Correlahedron
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Wilson Loops with Lagrangians: Large Spin OPE and Cusp Anomalous Dimension Dictionary
• Twistors, Harmonics and Holomorphic Chern-Simons
• On Solving Dual Conformal Integrals in Coulomb-branch Amplitudes and Their Periods
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons