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The Bethe ansatz for superconformal Chern-Simons

2008; Springer Nature; Volume: 2008; Issue: 09 Linguagem: Inglês

10.1088/1126-6708/2008/09/040

1127-2236

Joseph A. Minahan, Konstantin Zarembo,

Algebraic structures and combinatorial models

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).