Two loop integrability for Chern-Simons theories with N=6 supersymmetry

Abstract

We consider two-loop anomalous dimensions for fermionic operators in the ABJM model and the ABJ model. We find the appropriate Hamiltonian and show that it is consistent with a previously predicted Bethe ansatz for the ABJM model. The difference between the ABJ and ABJM models is invisible at the two-loop level by cancelation of parity violating diagrams. We then construct a Hamiltonian for the full two-loop OSp(6|4) spin chain by first constructing the Hamiltonian for an SL(2|1) subgroup, and then lifting to OSp(6|4). We show that this Hamiltonian is consistent with the Hamiltonian found for the fermionic operators.

23 pages, 4 figures; v2: minor misprints corrected, reference added

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• Fractional M2-branes
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Cited by in corpus (8)

• Anomalous radius shift in AdS(4)/CFT(3)
• Generation of Matrix Models by W-operators
• Non-planar ABJ Theory and Parity
• Giant Magnons on CP^3 by Dressing Method
• Dressed Giant Magnons on CP^3
• Factorized Tree-level Scattering in AdS_4 x CP^3
• The Morphology of N=6 Chern-Simons Theory
• Fermionic reductions of the AdS4 x CP3 superstring