Four-loop anomalous dimensions in Leigh-Strassler deformations

Details Four-loop anomalous dimensions in Leigh-Strassler deformations Four-loop anomalous dimensions in Leigh-Strassler deformations

2011-12-20

arxiv.org/abs/1112.4787v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, feynmp, 21 pages

Scientific paper

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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