A Twistorial Approach to Integrability in N=4 SYM

Abstract

While the achievements in the study of N=4 Super Yang-Mills through the application of integrability are impressive, the precise origins of the exact solvability remain shrouded in mystery. In this note, we propose that viewing the problem through the lens of twistor theory should help to clarify the reasons for integrability. We illustrate the power of this approach by rederiving the model's one-loop spin chain dilatation operator in the SO(6) sector.

arXiv comment10 pages, 2 figures. This is the accepted version that has been published in Fortschritte der Physik 63, No. 2, 142-147 (2015)

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• The Bethe-Ansatz for N=4 Super Yang-Mills
• Perturbative Gauge Theory As A String Theory In Twistor Space
• MHV Vertices And Tree Amplitudes In Gauge Theory
• Supersymmetric Gauge Theories in Twistor Space
• Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills
• MHV diagrams in twistor space and the twistor action
• Twistor actions for gauge theory and gravity

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• All Tree-Level MHV Form Factors in $\mathcal{N}=4$ SYM from Twistor Space
• On Form Factors and Correlation Functions in Twistor Space
• N=4 super-Yang-Mills in LHC superspace. Part II: Non-chiral correlation functions of the stress-tensor multiplet
• Demystifying the twistor construction of composite operators in N=4 super-Yang-Mills theory
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• Integrability and unitarity
• Correlation functions of the chiral stress-tensor multiplet in N=4 SYM
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• Renormalization of effective field theories via on-shell methods: the case of axion-like particles
• On Yangian symmetry of scattering amplitudes and the dilatation operator in N=4 super Yang-Mills
• Twistor action for general relativity