# 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} }

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…

## 32 Citations

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