A Twistorial Approach to Integrability in N=4 SYM

2014/10/31 by Laura Koster, Vladimir Mitev, Matthias Staudacher · 2 citations
Mathematics · Physics and Astronomy · #hep-th #math-ph #math.MP

paper · pdf · doi:10.1002/prop.201400085

published as Fortschritte der Physik 63, No. 2, 142-147 (2015) · 10 pages, 2 figures. This is the accepted version that has been published in Fortschritte der Physik 63, No. 2, 142-147 (2015)

arxiv created 2015/01/20 · arxiv updated 2015/01/21

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.

Cited by

• On Form Factors and Correlation Functions in Twistor Space
• Form factors and correlation functions in N = 4 super Yang-Mills theory from twistor space

Related

• Form factors and correlation functions in N = 4 super Yang-Mills theory from twistor space
• On supertwistor geometry and integrability in super gauge theory
• Composite Operators in the Twistor Formulation ofN=4Supersymmetric Yang-Mills Theory
• Super Yang-Mills Theory as a Twistor Matrix Model
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory