Superconformal operators in N=4 super-Yang-Mills theory

Details Superconformal operators in N=4 super-Yang-Mills theory Superconformal operators in N=4 super-Yang-Mills theory

2003-11-12

arxiv.org/abs/hep-th/0311104v4

Phys.Rev. D70 (2004) 045021

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, Latex, 4 figures

Scientific paper

10.1103/PhysRevD.70.045021

We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermultiplet have the same anomalous dimension and enter as building blocks into multi-particle quasipartonic operators. The latter are determined by the condition that their twist equals the number of elementary constituent fields from which they are built. A unique feature of the N=4 SYM is that all quasipartonic operators with different SU(4) quantum numbers fall into a single supermultiplet. Among them there is a subsector of the operators of maximal helicity, which has been known to be integrable in the multi-color limit in QCD, independent of the presence of supersymmetry. In the N=4 SYM theory, this symmetry is extended to the whole supermultiplet of quasipartonic operators and the one-loop dilatation operator coincides with a Hamiltonian of integrable SL(2|4) Heisenberg spin chain.

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