# Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory - High Energy Physics - Theory

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Abstract: Bethe ansatz equations have been proposed for the asymptotic spectral problemof AdS 4-CFT 3. This proposal assumes integrability, but the previousverification of weak-coupling integrability covered only the su4 sector ofthe ABJM gauge theory. Here we derive the complete planar two-loop dilatationgenerator of N=6 superconformal Chern-Simons theory from osp6|4superconformal symmetry. For the osp4|2 sector, we prove integrabilitythrough a Yangian construction. We argue that integrability extends to the fullplanar two-loop dilatation generator, confirming the applicability of the Betheequations at weak coupling. Further confirmation follows from an analyticcomputation of the two-loop twist-one spectrum.

Author: ** Benjamin I. Zwiebel**

Source: https://arxiv.org/