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Integrability in Yang-Mills theory on the light cone beyond leading order

A. V. Belitsky, G. P. Korchemsky, D. Müller

hep-tharXiv:hep-th/0412054

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 adjoint SU(Nc) matter it survives the conformal symmetry breaking and persists in supersymmetric N=1, N=2 and N=4 Yang-Mills theories.

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