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

Changrim Ahn, Rafael I. Nepomechie

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19 Scopus citations


Starting from the integrable two-loop spin-chain Hamiltonian describing the anomalous dimensions of scalar operators in the planar = 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 and 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 = 4 superconformal Yang-Mills theory, and compare the result with the all-loop SU(2|2) 2 S-matrix.

Original languageEnglish
Article number144
JournalJournal of High Energy Physics
Issue number3
StatePublished - 2009


  • AdS-CFT correspondence
  • Bethe ansatz
  • Exact S-Matrix
  • Gauge-gravity correspondence


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