  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).
