Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory

Understand

Bethe ansatz equations have been proposed for the asymptotic spectral problem of AdS_4/CFT_3.

• This proposal assumes integrability, but the previous verification of weak-coupling integrability covered only the su(4) sector of the ABJM gauge theory.
• Here we derive the complete planar two-loop dilatation generator of N=6 superconformal Chern-Simons theory from osp(6|4) superconformal symmetry.
• For the osp(4|2) sector, we prove integrability through a Yangian construction.