Using 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(X) that interpolates between weak and strong couplings. © SISSA 2010.
LEONI OLIVERA, M., Mauri, A., Minahan, J., Ohlsson Sax, O., Santambrogio, A., Sieg, C., et al. (2010). Superspace calculation of the four-loop spectrum in N = 6 supersymmetric Chern-Simons theories. JOURNAL OF HIGH ENERGY PHYSICS, 2010(12) [10.1007/JHEP12(2010)074].
Superspace calculation of the four-loop spectrum in N = 6 supersymmetric Chern-Simons theories
LEONI OLIVERA, MATIAS;MAURI, ANDREA;TARTAGLINO MAZZUCCHELLI, GABRIELE
2010
Abstract
Using 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(X) that interpolates between weak and strong couplings. © SISSA 2010.
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