Séminaire de Physique ThéoriqueTwo loop integrability for Chern-Simons theories with N=6 supersymmetry
Schulgin Wlademar (ENS Paris)
Thursday 05 March 2009 14:00 - Tours - Salle 1180 (Bât E2)
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.