title: Integrability in Yang-Mills theory on the light cone beyond leading order.
abstract: The one-loop dilatation operator in Yang-Mills theory possesses a hidden integrability symmetry in the sector of maximal-helicity Wilson operators. We calculate two-loop corrections to the dilatation operator and demonstrate that, while integrability is broken for matter in the fundamental representation of the SU(3) gauge group, for the ajoint SU(N(c)) matter it survives the conformal symmetry breaking and persists in supersymmetric N=1, N=2, and N=4 Yang-Mills theories.
authors.affiliation: Department of Physics and Astronomy, Arizona State University, Tempe, Arizona 85287-1504, USA.
authors.forename: A V
authors.initials: AV
authors.lastname: Belitsky
authors.forename: G P
authors.initials: GP
authors.lastname: Korchemsky
authors.forename: D
authors.initials: D
authors.lastname: Müller