Yangian Symmetry of Scattering Amplitudes and the Dilatation Operator in N=4 Supersymmetric Yang-Mills Theory

Brandhuber, Andreas; Heslop, Paul; Travaglini, Gabriele; Young, Donovan

Abstract

It is known that the Yangian of PSU(2,2|4) is a symmetry of the tree-level S matrix of N=4 super Yang-Mills theory. On the other hand, the complete one-loop dilatation operator in the same theory commutes with the level-one Yangian generators only up to certain boundary terms found by Dolan, Nappi, and Witten. Using a result by Zwiebel, we show how the Yangian symmetry of the tree-level S matrix of N=4 super Yang-Mills theory implies precisely the Yangian invariance, up to boundary terms, of the one-loop dilatation operator.

Citation

Brandhuber, A., Heslop, P., Travaglini, G., & Young, D. (2015). Yangian Symmetry of Scattering Amplitudes and the Dilatation Operator in N=4 Supersymmetric Yang-Mills Theory. Physical Review Letters, 115(14), Article 141602. https://doi.org/10.1103/physrevlett.115.141602

• Journal Article Type: Article
• Acceptance Date: Sep 8, 2015
• Online Publication Date: Sep 30, 2015
• Publication Date: Oct 2, 2015
• Deposit Date: Oct 29, 2015
• Publicly Available Date: Nov 20, 2015
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 115
• Issue: 14
• Article Number: 141602
• DOI: https://doi.org/10.1103/physrevlett.115.141602
• Public URL: https://durham-repository.worktribe.com/output/1427715
• Related Public URLs: http://arxiv.org/pdf/1507.01504