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

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

2009-01-05

arxiv.org/abs/0901.0411v2

J. Phys. A: Math. Theor. 42 (2009) 495402

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, v2: typos in (D.9) fixed, reference added, many small changes

Scientific paper

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.

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