Yangian Symmetry of Scattering Amplitudes and the Dilatation Operator in N = 4 Supersymmetric Yang-Mills Theory
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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.
AuthorsBrandhuber, A; Heslop, P; Travaglini, G; Young, D
- Physics and Astronomy