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arXiv · 1112.4787

Four-loop anomalous dimensions in Leigh-Strassler deformations

J. A. Minahan·C. Sieg
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Abstract

We determine the scalar part of the four-loop chiral dilatation operator for Leigh-Strassler deformations of N=4 super Yang-Mills. This is sufficient to find the four-loop anomalous dimensions for operators in closed scalar subsectors. This includes the SU(2) subsector of the (complex) beta-deformation, where we explicitly compute the anomalous dimension for operators with a single impurity. It also includes the "3-string null" operators of the cubic Leigh-Strassler deformation. Our four-loop results show that the rational part of the anomalous dimension is consistent with a conjecture made in arXiv:1108.1583 based on the three-loop result of arXiv:1008.3351 and the N=4 magnon dispersion relation. Here we find additional zeta(3) terms.

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J. A. Minahan, C. Sieg. 2011-12-20. Four-loop anomalous dimensions in Leigh-Strassler deformations. https://doi.org/10.1088/1751-8113/45/30/305401

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