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

A. V. Belitsky·S. E. Derkachov·G. P. Korchemsky·A. N. Manashov
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Abstract

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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A. V. Belitsky, S. E. Derkachov, G. P. Korchemsky, A. N. Manashov. 2004-12-27. Superconformal operators in N=4 super-Yang-Mills theory. https://doi.org/10.1103/physrevd.70.045021

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