A Twistorial Approach to Integrability in N=4 SYM

DOI10.1002/prop.201400085zbMath1338.81290arXiv1410.6310OpenAlexW1925271565MaRDI QIDQ2814238

Matthias Staudacher, Vladimir Mitev, Laura Koster

Publication date: 20 June 2016

Published in: Fortschritte der Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6310

zbMATH Keywords

AdS/CFTintegrable modelssupersymmetric gauge theoriestwistors

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) 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) Special quantum systems, such as solvable systems (81Q80)

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On-shell diagrams, Graßmannians and integrability for form factors ⋮ All tree-level MHV form factors in \( \mathcal{N} =4\) SYM from twistor space ⋮ The \(\mathrm{SU}(2|3)\) dynamic two-loop form factors ⋮ Integrability and unitarity ⋮ Correlation functions of the chiral stress-tensor multiplet in \( \mathcal{N}=4 \) SYM ⋮ On-shell methods for the two-loop dilatation operator and finite remainders ⋮ \( \mathcal{N} = 4\) super-Yang-Mills in LHC superspace. II: Non-chiral correlation functions of the stress-tensor multiplet ⋮ On form factors and correlation functions in twistor space ⋮ Amplitudes, form factors and the dilatation operator in \( \mathcal{N}=4 \) SYM theory ⋮ Twistor fishnets ⋮ Demystifying the twistor construction of composite operators in ${\mathcal N}=4$ super-Yang–Mills theory

Cites Work

• Review of AdS/CFT integrability, chapter I.1: Spin chains in \({\mathcal{N}=4}\) super Yang-Mills
• Perturbative gauge theory as a string theory in twistor space
• Scattering Amplitudes and Wilson Loops in Twistor Space