Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory
Abstract
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. We argue that integrability extends to the full planar two-loop dilatation generator, confirming the applicability of the Bethe equations at weak coupling. Further confirmation follows from an analytic computation of the two-loop twist-one spectrum.
Cite
@article{arxiv.0901.0411,
title = {Two-loop Integrability of Planar N=6 Superconformal Chern-Simons Theory},
author = {Benjamin I. Zwiebel},
journal= {arXiv preprint arXiv:0901.0411},
year = {2015}
}
Comments
45 pages, v2: typos in (D.9) fixed, reference added, many small changes