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arXiv · 0806.3951

The Bethe ansatz for superconformal Chern-Simons

J. A. Minahan·K. Zarembo
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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).

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J. A. Minahan, K. Zarembo. 2009-04-06. The Bethe ansatz for superconformal Chern-Simons. https://doi.org/10.1088/1126-6708%2F2008%2F09%2F040

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