The Bethe ansatz for superconformal Chern-Simons
Abstract
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).
Cite
@article{arxiv.0806.3951,
title = {The Bethe ansatz for superconformal Chern-Simons},
author = {J. A. Minahan and K. Zarembo},
journal= {arXiv preprint arXiv:0806.3951},
year = {2009}
}
Comments
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