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arXiv · 0908.0234

Five-loop anomalous dimension at critical wrapping order in N=4 SYM

Francesco Fiamberti·Alberto Santambrogio·Christoph Sieg
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Abstract

We compute the anomalous dimension of a length-five operator at five-loop order in the SU(2) sector of N=4 SYM theory in the planar limit. This is critical wrapping order at five loops. The result is obtained perturbatively by means of 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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Francesco Fiamberti, Alberto Santambrogio, Christoph Sieg. 2009-08-03. Five-loop anomalous dimension at critical wrapping order in N=4 SYM. https://doi.org/10.1007/jhep03(2010)103

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