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Supergraphs and the cubic Leigh-Strassler model
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2011 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 12, 093- p.Article in journal (Refereed) Published
Abstract [en]

We discuss supergraphs and their relation to "chiral functions" in N = 4 Super Yang-Mills. Based on the magnon dispersion relation and an explicit three-loop result of Sieg's we make an all loop conjecture for the rational contributions of certain classes of supergraphs. We then apply superspace techniques to the "cubic" branch of Leigh-Strassler N = 1 superconformal theories. We show that there are order 2(L)/L single trace operators of length L which have zero anomalous dimensions to all loop order in the planar limit. We then compute the anomalous dimensions for another class of single trace operators we call one-pair states. Using the conjecture we can find a simple expression for the rational part of the anomalous dimension which we argue is valid at least up to and including five-loop order. Based on an explicit computation we can compute the anomalous dimension for these operators to four loops.

Place, publisher, year, edition, pages
2011. no 12, 093- p.
Keyword [en]
Supersymmetric gauge theory, 1/N Expansion
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-169248DOI: 10.1007/JHEP12(2011)093ISI: 000298847400038OAI: oai:DiVA.org:uu-169248DiVA: diva2:505913
Available from: 2012-02-27 Created: 2012-02-24 Last updated: 2012-02-27Bibliographically approved

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Minahan, Joseph A.
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