Two - loop Integrability of Planar N = 6 Superconformal Chern - Simons Theory
نویسنده
چکیده
Bethe ansatz equations have been proposed for the asymptotic spectral problem of AdS4/CFT3. 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.
منابع مشابه
Two - loop test of the N = 6 Chern - Simons theory S - matrix
Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar N = 6 superconformal Chern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatz computation of the corresponding two-loop S-matrix. The result matches with the weak-coupling limit of the scalar sector of the all-loop S-matrix which we have recently pro...
متن کاملGeneralized Dynamical Spin Chain and 4 - Loop Integrability in N = 6 Superconformal Chern - Simons Theory
We revisit unitary representation of centrally extended psu(2|2) excitation superalgebra. We find most generally that ‘pseudo-momentum’, not lattice momentum, diagonalizes spin chain Hamiltonian and leads to generalized dynamic spin chain. All known results point to lattice momentum diagonalization for N = 4 super Yang-Mills theory. Having different interacting structure, we ask if N = 6 superc...
متن کاملQCD properties of twist operators in the N = 6 Chern - Simons theory
We consider twist-1, 2 operators in planar N = 6 superconformal ChernSimons ABJM theory. We derive higher order anomalous dimensions from integrability and test various QCD-inspired predictions known to hold inN = 4 SYM. In particular, we show that the asymptotic anomalous dimensions display intriguing remnants of GribovLipatov reciprocity and Low-Burnett-Kroll logarithmic cancellations. Wrappi...
متن کاملAn alternative S - matrix for N = 6 Chern - Simons theory ?
We have recently proposed an S-matrix for the planar limit of the N = 6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena which leads to the all-loop Bethe ansatz equations conjectured by Gromov and Vieira. An unusual feature of this proposal is that the scattering of A and B particles is reflectionless. We consider here an alternative S-matrix, for which A−B scatte...
متن کاملRemark About Scaling Limit of ABJ Theory
We generalize the suggestion presented in arXiv:0806.3498 that the 3d N = 8 superconformal SU(N) Chern-Simons-matter theory of Lorentzian Bagger-LambertGustavson type (L-BLG) can be obtained through the scaling limit from N = 6 superconformal U(N) × U(N) Chern-Simons-matter theory of Aharony, Bergman, Jafferis and Maldacena (ABJM) to the case when we study the scaling limit of N = 6 superconfor...
متن کامل