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

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Cited by in corpus (20)

• Review of AdS/CFT Integrability, Chapter IV.3: N=6 Chern-Simons and Strings on AdS4xCP3
• Simplifying superstring and D-brane actions in AdS(4) x CP(3) superbackground
• Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
• Worldsheet spectrum in AdS(4)/CFT(3) correspondence
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• Exact S-matrices for AdS_3/CFT_2
• Generalized Dynamical Spin Chain and 4-Loop Integrability in N=6 Superconformal Chern-Simons Theory
• Giant Magnons on CP^3 by Dressing Method
• Integrability of N=6 Chern-Simons Theory at Six Loops and Beyond
• On the worldsheet theory of the type IIA AdS(4) x CP(3) superstring
• Factorized Tree-level Scattering in AdS_4 x CP^3
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• The Morphology of N=6 Chern-Simons Theory
• Two-Loop Spectroscopy of Short ABJM Operators
• Scattering of Giant Magnons in CP^3
• Open Spin Chains from Determinant Like Operators in ABJM Theory
• The Leading Order Dressing Phase in ABJM Theory
• Integrable Open Spin Chains from Flavored ABJM Theory
• On the absence of reflection in AdS4/CFT3
• Notes on Integrable Boundary Interactions of Open $SU(4)$ Alternating Spin Chains