Two loop integrability for Chern-Simons theories with N=6 supersymmetry
High Energy Physics - Theory
2009-11-13 v2
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.
Cite
@article{arxiv.0901.1142,
title = {Two loop integrability for Chern-Simons theories with N=6 supersymmetry},
author = {J. A. Minahan and W. Schulgin and K. Zarembo},
journal= {arXiv preprint arXiv:0901.1142},
year = {2009}
}
Comments
23 pages, 4 figures; v2: minor misprints corrected, reference added