Anomalous dimensions; Integrability; Wrapping Superspace calculation of the four-loop spectrum in N=6 supersymmetricChern-Simons theory Matias Leoni Leoni Matias Andrea Mauri Mauri Andrea Joseph A. Minahan Minahan Joseph A. Olof Ohlsson Sax Ohlsson Sax Olof Alberto Santambrogio Santambrogio Alberto Christoph Sieg Sieg Christoph Gabriele Tartaglino-Mazzucchelli Tartaglino-Mazzucchelli Gabriele Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976),

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.


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