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Springer, Journal of High Energy Physics, 03(2009), p. 144-144, 2009

DOI: 10.1088/1126-6708/2009/03/144

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

Journal article published in 2009 by Changrim Ahn, Rafael I. Nepomechie ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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