N = 6 super Chern - Simons theory S - matrix and all - loop Bethe ansatz equations
نویسندگان
چکیده
We propose the exact S-matrix for the planar limit of the N = 6 super ChernSimons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS4/CFT3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira. 1 Department of Physics, Ewha Womans University, Seoul 120-750, South Korea 2 Physics Department, P.O. Box 248046, University of Miami, Coral Gables, FL 33124 USA
منابع مشابه
An 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 کاملTwo - loop Integrability of Planar N = 6 Superconformal Chern - Simons Theory
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...
متن کاملTwo - 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 کاملLong - Range psu ( 2 , 2 | 4 ) Bethe Ansätze for Gauge Theory and Strings
We generalize various existing higher-loop Bethe ansätze for simple sectors of the integrable long-range dynamic spin chain describing planar N = 4 Super Yang-Mills Theory to the full psu(2, 2|4) symmetry and, asymptotically, to arbitrary loop order. We perform a large number of tests of our conjectured equations, such as internal consistency, comparison to direct three-loop diagonalization and...
متن کاملThe all loop AdS 4 / CFT
We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t’Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly constrain the form of...
متن کامل