Wilson loops \@ 3-loops in special kinematics

DOI10.1007/JHEP11(2011)152zbMath1306.81112arXiv1109.0058OpenAlexW3102521246WikidataQ58325961 ScholiaQ58325961MaRDI QIDQ2261058

Valentin V. Khoze, Paul J. Heslop

Publication date: 6 March 2015

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0058

zbMATH Keywords

supersymmetric gauge theoryduality in gauge field theoriesextended supersymmetry

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Feynman diagrams (81T18) Polylogarithms and relations with (K)-theory (11G55)

Related Items (14)

The four-loop remainder function and multi-Regge behavior at NNLLA in planar \( \mathcal{N} = 4\) super-Yang-Mills theory ⋮ Generalised ladders and single-valued polylogs ⋮ Differential equations for multi-loop integrals and two-dimensional kinematics ⋮ Star integrals, convolutions and simplices ⋮ Hedgehog bases for \(A_{n}\) cluster polylogarithms and an application to six-point amplitudes ⋮ Analytic two-loop form factors in \( \mathcal{N} = 4 \) SYM ⋮ Analytic result for the two-loop six-point NMHV amplitude in \(\mathcal{N} = {4}\) super Yang-Mills theory ⋮ Jumpstarting the all-loop S-matrix of planar \( \mathcal{N} = {4} \) super Yang-Mills ⋮ Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes ⋮ Mellin amplitudes for dual conformal integrals ⋮ From polygons and symbols to polylogarithmic functions ⋮ From polygon Wilson loops to spin chains and back ⋮ Three-loop octagons and \(n\)-gons in maximally supersymmetric Yang-Mills theory ⋮ Superstring amplitudes and the associator

Uses Software

• CHAPLIN

Cites Work

• Simplicity of polygon Wilson loops in \(\mathcal{N} = 4\) SYM
• An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
• A simple construction of Grassmannian polylogarithms
• On BCFW shifts of integrands and integrals
• Analytic results for MHV Wilson loops
• The complete planar S-matrix of \(\mathcal{N} = 4\) SYM as a Wilson loop in twistor space
• Hidden symmetry of four-point correlation functions and amplitudes in \(\mathcal{N}=4\) SYM
• Notes on the scattering amplitude -- Wilson loop duality
• A proof of the correlation function/supersymmetric Wilson loop correspondence
• Bootstrapping null polygon Wilson loops
• From correlation functions to Wilson loops
• Thermodynamic bubble ansatz
• CHAPLIN -- complex harmonic polylogarithms in Fortran
• The all-loop integrand for scattering amplitudes in planar \({\mathcal N} = 4\) SYM
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Are scattering amplitudes dual to super Wilson loops?
• An operator product expansion for polygonal null Wilson loops
• On planar gluon amplitudes/Wilson loops duality
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• Local integrals for planar scattering amplitudes
• The super-correlator/super-amplitude duality. I
• The super-correlator/super-amplitude duality. II
• A two-loop octagon Wilson loop in \(\mathcal{N} = 4\) SYM
• Symbols of one-loop integrals from mixed Tate motives
• OPE for super loops
• Bootstrapping the three-loop hexagon
• Superconformal symmetry and two-loop amplitudes in planar \(\mathcal{N} = {4}\) super Yang-Mills
• Pulling the straps of polygons
• From correlation functions to scattering amplitudes
• The two-loop hexagon Wilson loop in \(\mathcal{N}=4\) SYM
• MHV amplitudes in \(\mathcal N=4\) super-Yang-Mills and Wilson loops

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