Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories

Details Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories

2010-10-08

arxiv.org/abs/1010.1756v2

JHEP 1012:074,2010

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, feynmp, 34 pages; v2: typos corrected, formulations improved, references added

Scientific paper

10.1007/JHEP12(2010)074

Using N=2 superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) x SU(2) sector of ABJM and ABJ supersymmetric Chern-Simons theories. Our computation yields a four-loop contribution to the function h^2(\lambda) (and its ABJ generalization) in the magnon dispersion relation which has fixed maximum transcendentality and coincides with the findings in components given in the revised versions of arXiv:0908.2463 and arXiv:0912.3460. We also discuss possible scenarios for an all-loop function h^2(\lambda) that interpolates between weak and strong couplings.

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