Matrix pentagons

Abstract

The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang-Mills theory runs systematically in terms of multiparticle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unravelled in the past several years and culminated in a complete description of pentagons as an exact function of the 't Hooft coupling. In this paper we provide a solution for the last building block in this program, the SU(4) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.

19 pages, 4 figures, 1 ancillary file; typos fixed in formulas

References in corpus (10)

• Logarithmic scaling in gauge/string correspondence
• Space-time S-matrix and Flux-tube S-matrix IV. Gluons and Fusion
• OPE for all Helicity Amplitudes
• On the collinear limit of scattering amplitudes at strong coupling
• Hexagonal Wilson Loops in Planar $\mathcal{N}=4$ SYM Theory at Finite Coupling
• OPE for all Helicity Amplitudes II. Form Factors and Data Analysis
• On factorization of multiparticle pentagons
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes
• Nonperturbative enhancement of superloop at strong coupling
• Supersymmetric quantum mechanics of the flux tube

Cited by in corpus (20)

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• A Three-Point Form Factor Through Five Loops
• Folding Amplitudes into Form Factors: An Antipodal Duality
• Bootstrapping a Stress-Tensor Form Factor through Eight Loops
• An Operator Product Expansion for Form Factors
• Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry
• Antipodal Self-Duality for a Four-Particle Form Factor
• The Two-Loop Remainder Function for Eight and Nine Particles
• An Operator Product Expansion for Form Factors III. Finite Coupling and Multi-Particle Contributions
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• 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
• Multichannel conformal blocks for scattering amplitudes
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Resummed tree heptagon
• A Two-Loop Four-Point Form Factor at Function Level
• ABJM flux-tube and scattering amplitudes
• Analytic Four-Point Lightlike Form Factors and OPE of Null-Wrapped Polygons
• An Operator Product Expansion for Form Factors II. Born level
• Hexagon Bootstrap in the Double Scaling Limit