Two-loop test of the N=6 Chern-Simons theory S-matrix

Abstract

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 proposed. In particular, we confirm that the scattering of A and B particles is reflectionless. As a warm up, we first review the analogous computation of the one-loop S-matrix from the one-loop dilatation operator for the scalar sector of planar N=4 superconformal Yang-Mills theory, and compare the result with the all-loop SU(2|2)^{2} S-matrix.

21 pages, no figure; references added

References in corpus (22)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Green-Schwarz action for Type IIA strings on $Ad{S}_4\times C{P}^3$
• The Bethe ansatz for superconformal Chern-Simons
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• Three-dimensional N=6 SCFT's and their membrane dynamics
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• The Bethe ansatz approach for factorizable centrally extended S-matrices
• M2-M5 Systems in N=6 Chern-Simons Theory
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Topological branes, p-algebras and generalized Nahm equations
• A note on the reduction of the AdS4 x CP3 string sigma model
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• Zero Modes for the Boundary Giant Magnons
• M2-brane Perspective on N=6 Super Chern-Simons Theory at Level k

Cited by in corpus (3)

• Giant Magnons on CP^3 by Dressing Method
• Factorized Tree-level Scattering in AdS_4 x CP^3
• The Morphology of N=6 Chern-Simons Theory