Abstract
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 by employing the recently proposed Y-system.
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ArXiv ePrint: 0908.0234
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Fiamberti, F., Santambrogio, A. & Sieg, C. Five-loop anomalous dimension at critical wrapping order in \( \mathcal{N} = 4 \) SYM. J. High Energ. Phys. 2010, 103 (2010). https://doi.org/10.1007/JHEP03(2010)103
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DOI: https://doi.org/10.1007/JHEP03(2010)103