Two loop integrability for Chern-Simons theories with N=6 supersymmetry
2009 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, no 3, 057- p.Article in journal (Refereed) Published
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 due to 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.
Place, publisher, year, edition, pages
2009. no 3, 057- p.
AdS-CFT Correspondence, Lattice Integrable Models, Bethe Ansatz
IdentifiersURN: urn:nbn:se:uu:diva-129088DOI: 10.1088/1126-6708/2009/03/057ISI: 000265600800057OAI: oai:DiVA.org:uu-129088DiVA: diva2:337561