2008/06/30 by J. A. Minahan, K. Zarembo
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2008/09/040
published as JHEP 0809:040,2008 · 22 pages, 9 figures; v2 Overall normalization of the Hamiltonian corrected and missing diagram contributing to two-site interactions included. Typos fixed; v3 Figure 8 corrected; v4 Misprints corrected; v5 Correct figures recovered. Published version; v6: misprints in (3.15), (3.16), (3.17) corrected
We study the anomalous dimensions for scalar operators for a three-dimensional Chern-Simons theory recently proposed in arXiv:0806.1218. We show that the mixing matrix at two-loop order is that for an integrable Hamiltonian of an SU(4) spin chain with sites alternating between the fundamental and the anti-fundamental representations. We find a set of Bethe equations from which the anomalous dimensions can be determined and give a proposal for the Bethe equations to the full superconformal group of OSp(2,2|6).