2009/02/28 by J. M. Drummond, James Drummond, J. M. Henn +3 路 8 citations
Physics and Astronomy 路 #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-th
paper 路 pdf 路 doi:10.1088/1126-6708/2009/05/046
published as JHEP 0905:046,2009 路 23 pages, no figures; v2: typos corrected, references added; v3: minor changes, references added
arxiv created 2009/05/13 路 openalex publication_date 2009/05/13 路 arxiv updated 2009/12/01 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/28
Tree-level scattering amplitudes in N=4 super Yang-Mills theory have recently been shown to transform covariantly with respect to a 'dual' superconformal symmetry algebra, thus extending the conventional superconformal symmetry algebra psu(2,2|4) of the theory. In this paper we derive the action of the dual superconformal generators in on-shell superspace and extend the dual generators suitably to leave scattering amplitudes invariant. We then study the algebra of standard and dual symmetry generators and show that the inclusion of the dual superconformal generators lifts the psu(2,2|4) symmetry algebra to a Yangian. The non-local Yangian generators acting on amplitudes turn out to be cyclically invariant due to special properties of psu(2,2|4). The representation of the Yangian generators takes the same form as in the case of local operators, suggesting that the Yangian symmetry is an intrinsic property of planar N=4 super Yang-Mills, at least at tree level.