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On twist-two operators in N=4 SYM

J. Henn·C. Jarczak·E. Sokatchev
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Abstract

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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J. Henn, C. Jarczak, E. Sokatchev. 2005-08-05. On twist-two operators in N=4 SYM. https://doi.org/10.1016/j.nuclphysb.2005.09.043

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