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

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

2009-08-03

arxiv.org/abs/0908.0234v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, feynmp, 34 pages, 21 figures, 8 tables

Scientific paper

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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