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A Twistorial Approach to Integrability in N=4 SYM · Around

2014

A Twistorial Approach to Integrability in N=4 SYM

Koster, Laura, Mitev, Vladimir, Staudacher, Matthias

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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.

Built on

V. Nair, “A Current Algebra for Some Gauge Theory Amplitudes,” Phys.Lett
1988
Earlier work this paper cites.
L. J. Mason and N. M. J. Woodhouse, “Integrability, selfduality, and twistor theory,” London Mathematical Society monographs, new series: 15 (1991)
1991
Earlier work this paper cites.
J. Minahan and K. Zarembo, “The Bethe ansatz for N=4 superYang-Mills,” JHEP
2003
Earlier work this paper cites.

Similar

E. Witten, “Perturbative gauge theory as a string theory in twistor space,” Commun.Math.Phys
2004
Cited alongside, same era.
F. Cachazo, P. Svrcek, and E. Witten, “MHV vertices and tree amplitudes in gauge theory,” JHEP
2004
Cited alongside, same era.
R. Boels, L. Mason, and D. Skinner, “Supersymmetric Gauge Theories in Twistor Space,” JHEP
2007
Cited alongside, same era.
T. Adamo, “Twistor actions for gauge theory and gravity,” arXiv:1308.2820 [hep-th]
Original
Cited in the paper.
L. Koster, V. Mitev, M. Staudacher, and M. Wilhelm. Work in progress
Cited in the paper.
M. Wilhelm, “Amplitudes, Form Factors and the Dilatation Operator in 𝒩 = 4 \mathcal{N}=4 SYM Theory,” arXiv:1410.6309 [hep-th]
Original
Cited in the paper.

Then

J. A. Minahan, “Review of AdS/CFT Integrability, Chapter I.1: Spin Chains in N=4 Super Yang-Mills,” Lett.Math.Phys
Original
2012
Later among the works it cites.
M. R. Bullimore, “Scattering Amplitudes and Wilson Loops in Twistor Space,” D.Phil. thesis, University of Oxford (2012)
2012
Later among the works it cites.
T. Adamo and L. Mason, “MHV diagrams in twistor space and the twistor action,” Phys.Rev
Original
2012
Later among the works it cites.

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