Quantum integrability in (super) Yang-Mills theory on the light-cone

A. V. Belitsky, S. É Derkachov, G. P. Korchemsky, A. N. Manashov

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


We employ the light-cone formalism to construct in the (super) Yang-Mills theories in the multi-color limit the one-loop dilatation operator acting on single trace products of chiral superfields separated by light-like distances. In the N=4 Yang-Mills theory it exhausts all Wilson operators of the maximal Lorentz spin while in nonsupersymmetric Yang-Mills theory it is restricted to the sector of maximal helicity gluonic operators. We show that the dilatation operator in all N-extended super-Yang-Mills theories is given by the same integral operator which acts on the (N+1)-dimensional superspace and is invariant under the SL(2N) superconformal transformations. We construct the R-matrix on this space and identify the dilatation operator as the Hamiltonian of the Heisenberg SL(2N) spin chain.

Original languageEnglish (US)
Pages (from-to)385-401
Number of pages17
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number3-4
StatePublished - Aug 5 2004
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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