A note on dual MHV diagrams in \(\mathcal{N} = 4\) SYM

DOI10.1007/JHEP12(2010)087zbMath1294.81092arXiv1010.1498WikidataQ60660941 ScholiaQ60660941MaRDI QIDQ406970

Bill Spence, Gang Yang, Gabriele Travaglini, Andreas Brandhuber

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1010.1498

zbMATH Keywords

AdS-CFT correspondenceduality in gauge field theoriesextended supersymmetrysupersymmetry and duality

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods applied to problems in quantum theory (81R25) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (5)

On all-loop integrands of scattering amplitudes in planar \(\mathcal{N} = 4\) SYM ⋮ MHV diagrams from an all-loop recursion relation ⋮ Spinor helicity and dual conformal symmetry in ten dimensions ⋮ Twistor and polytope interpretations for subleading color one-loop amplitudes ⋮ Harmony of super form factors

Cites Work

• Eliminating spurious poles from gauge-theoretic amplitudes
• A duality for the S matrix
• MHV diagrams in momentum twistor space
• The complete planar S-matrix of \(\mathcal{N} = 4\) SYM as a Wilson loop in twistor space
• From correlation functions to Wilson loops
• 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
• Dual superconformal symmetry of scattering amplitudes in \({\mathcal N}=4\) super-Yang-Mills theory
• The Lagrangian origin of MHV rules
• From twistor actions to MHV diagrams
• An operator product expansion for polygonal null Wilson loops
• Perturbative gauge theory as a string theory in twistor space
• A twistor approach to one-loop amplitudes in \(N=1\) supersymmetric Yang-Mills theory
• One-loop gauge theory amplitudes in \(N=4\) super Yang-Mills from MHV vertices
• Non-supersymmetric loop amplitudes and MHV vertices
• On planar gluon amplitudes/Wilson loops duality
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• From correlation functions to scattering amplitudes
• MHV amplitudes in \(\mathcal N=4\) super-Yang-Mills and Wilson loops

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