English

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

High Energy Physics - Theory 2015-05-13 v1

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.

Keywords

Cite

@article{arxiv.0908.0234,
  title  = {Five-loop anomalous dimension at critical wrapping order in N=4 SYM},
  author = {Francesco Fiamberti and Alberto Santambrogio and Christoph Sieg},
  journal= {arXiv preprint arXiv:0908.0234},
  year   = {2015}
}

Comments

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

R2 v1 2026-06-21T13:31:50.294Z