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

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Published 30 March 2009 • Published under licence by IOP Publishing Ltd
, , Citation Changrim Ahn and Rafael I. Nepomechie JHEP03(2009)144 DOI 10.1088/1126-6708/2009/03/144

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Author affiliations

1 Department of Physics, Ewha Womans University, Seoul 120-750, South Korea

2 Physics Department, University of Miami, P.O. Box 248046, Coral Gables, FL 33124, U.S.A.

Dates

  1. Received 28 January 2009
  2. Accepted 6 March 2009
  3. Published

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1126-6708/2009/03/144

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-loopS-matrix which we have recently proposed. In particular, we confirm that the scattering of Script 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 Script N = 4 superconformal Yang-Mills theory, and compare the result with the all-loop SU(2|2)2 S-matrix.

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10.1088/1126-6708/2009/03/144