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Five-loop anomalous dimension at critical wrapping order in \( \mathcal{N} = 4 \) SYM

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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 \( \mathcal{N} = 4 \) 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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Authors and Affiliations

  1. Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133, Milano, Italy

    F. Fiamberti

  2. INFN–Sezione di Milano, Via Celoria 16, 20133, Milano, Italy

    F. Fiamberti & A. Santambrogio

  3. The Niels Bohr International Academy, The Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen, Denmark

    C. Sieg

Authors
  1. F. Fiamberti
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  2. A. Santambrogio
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  3. C. Sieg
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Correspondence to C. Sieg.

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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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