%0 Journal Article %T Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories %A M. Leoni %A A. Mauri %A J. A. Minahan %A O. Ohlsson Sax %A A. Santambrogio %A C. Sieg %A G. Tartaglino-Mazzucchelli %J Mathematics %D 2010 %I arXiv %R 10.1007/JHEP12(2010)074 %X 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. %U http://arxiv.org/abs/1010.1756v2