Superspace calculation of the four-loop spectrum in N=6 supersymmetricChern-Simons theory

Matias Leoni , Andrea Mauri , Joseph A. Minahan , Olof Ohlsson Sax , Alberto Santambrogio , Christoph Sieg , Gabriele Tartaglino-Mazzucchelli

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),

PACS: 11.15.Yc,11.25.Tq,

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(λ) that interpolates between weak and strong couplings.