Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling

Abstract

We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudes in planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite coupling prediction for all the terms in the expansion of these amplitudes around the collinear limit. These furnish a non-perturbative representation of the full amplitudes.

2 pages + references

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Cited by in corpus (45)

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• A Three-Point Form Factor Through Five Loops
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• Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory
• Sequential Discontinuities of Feynman Integrals and the Monodromy Group
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• An Operator Product Expansion for Form Factors
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
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• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
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• Worldsheet scattering for the GKP string
• Nonperturbative enhancement of superloop at strong coupling
• Towards NMHV amplitudes at strong coupling
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• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• The SAGEX Review on Scattering Amplitudes, Chapter 5: Analytic Bootstraps for Scattering Amplitudes and Beyond
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• All two-loop MHV remainder functions in multi-Regge kinematics
• Non-planar BCFW Grassmannian Geometries
• The four-loop six-gluon NMHV ratio function
• Octagon with finite bridge: free fermions and determinant identities
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• Pentagon OPE resummation in N=4 SYM: hexagons with one effective particle contribution
• Regge meets collinear in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• A Novel Algorithm for Nested Summation and Hypergeometric Expansions
• A Two-Loop Four-Point Form Factor at Function Level
• Gluing Hexagons at Three Loops
• The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes
• ABJM flux-tube and scattering amplitudes
• Exploring Reggeon bound states in strongly-coupled $\mathcal{N}=4$ super Yang-Mills
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• An Operator Product Expansion for Form Factors II. Born level
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM
• Three-loop color-kinematics duality: A 24-dimensional solution space induced by new generalized gauge transformations
• Hexagon Bootstrap in the Double Scaling Limit