On twist-two operators in N=4 SYM

Details On twist-two operators in N=4 SYM On twist-two operators in N=4 SYM

2005-07-25

arxiv.org/abs/hep-th/0507241v2

Nucl.Phys. B730 (2005) 191-209

Physics

High Energy Physics

High Energy Physics - Theory

references added; typos corrected

Scientific paper

10.1016/j.nuclphysb.2005.09.043

We propose a mechanism for calculating anomalous dimensions of higher-spin twist-two operators in N=4 SYM. We consider the ratio of the two-point functions of the operators and of their superconformal descendants or, alternatively, of the three-point functions of the operators and of the descendants with two protected half-BPS operators. These ratios are proportional to the anomalous dimension and can be evaluated at n-1 loop in order to determine the anomalous dimension at n loops. We illustrate the method by reproducing the well-known one-loop result by doing only tree-level calculations. We work out the complete form of the first-generation descendants of the twist-two operators and the scalar sector of the second-generation descendants.

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