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Four-loop anomalous dimensions in Leigh-Strassler deformations
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2012 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 45, no 30, 305401- p.Article in journal (Refereed) Published
Abstract [en]

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 Minahan (2011 J. High Energy Phys. JHEP12(2011)093) based on the three-loop result of Sieg (2011 Phys. Rev. D 84 045014) and the N = 4 magnon dispersion relation. Here, we find additional zeta (3) terms.

Place, publisher, year, edition, pages
2012. Vol. 45, no 30, 305401- p.
National Category
Physical Sciences
URN: urn:nbn:se:uu:diva-179904DOI: 10.1088/1751-8113/45/30/305401ISI: 000306667400010OAI: oai:DiVA.org:uu-179904DiVA: diva2:547490
Available from: 2012-08-28 Created: 2012-08-27 Last updated: 2012-08-28Bibliographically approved

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