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

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

2009-01-09

arxiv.org/abs/0901.1142v2

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2009/03/057

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.

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