# Five-loop anomalous dimension at critical wrapping order in $\mathcal{N} = 4$ SYM

@article{Fiamberti2009FiveloopAD,
title={Five-loop anomalous dimension at critical wrapping order in \$\mathcal\{N\} = 4 \$ SYM},
author={Francesco Fiamberti and Alberto Santambrogio and Christoph Sieg},
journal={Journal of High Energy Physics},
year={2009},
volume={2010},
pages={1-29}
}
• Published 3 August 2009
• Mathematics, Physics
• Journal of High Energy Physics
We compute the anomalous dimension of a length-five operator at five-loop order in the SU(2) sector of $\mathcal{N} = 4$ SYM theory in the planar limit. This is critical wrapping order at five loops. The result is obtained perturbatively by means of $\mathcal{N} = 1$ superspace techniques. Our result from perturbation theory confirms explicitly the formula conjectured in arXiv:0901.4864 for the five-loop anomalous dimension of twist-three operators. We also explicitly obtain the same result…

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