title: Yangian Symmetry of Scattering Amplitudes and the Dilatation Operator in N=4 Supersymmetric Yang-Mills Theory.
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.
authors.affiliation: Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom.
authors.forename: Andreas
authors.initials: A
authors.lastname: Brandhuber
authors.affiliation: Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom.
authors.forename: Paul
authors.initials: P
authors.lastname: Heslop
authors.affiliation: Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom.|Department of Mathematical Sciences, Durham University, South Road, Durham DH1 3LE, United Kingdom.
authors.forename: Gabriele
authors.initials: G
authors.lastname: Travaglini
authors.affiliation: Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London E1 4NS, United Kingdom.
authors.forename: Donovan
authors.initials: D
authors.lastname: Young