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

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

doi:10.1103/physrevlett.115.141602

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

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

Authors

Andreas Brandhuber

Professor Paul Heslop paul.heslop@durham.ac.uk
Professor

Gabriele Travaglini

Donovan Young

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
Related Public URLs	http://arxiv.org/pdf/1507.01504

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