Abstract
Using \( \mathcal{N} = 2 \) superspace techniques we compute the four-loop spectrum of single trace operators in the SU(2) × SU(2) sector of ABJM and ABJ supersymmetric Chern-Simons theories. Our computation yields a four-loop contribution to the function h 2(λ) (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(λ) that interpolates between weak and strong couplings.
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Leoni, M., Mauri, A., Minahan, J.A. et al. Superspace calculation of the four-loop spectrum in \( \mathcal{N} = 6 \) supersymmetric Chern-Simons theories. J. High Energ. Phys. 2010, 74 (2010). https://doi.org/10.1007/JHEP12(2010)074
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DOI: https://doi.org/10.1007/JHEP12(2010)074