# Two-loop test of the N=6 Chern-Simons theory S-matrix - High Energy Physics - Theory

Two-loop test of the N=6 Chern-Simons theory S-matrix - High Energy Physics - Theory - Download this document for free, or read online. Document in PDF available to download.

Abstract: Starting from the integrable two-loop spin-chain Hamiltonian describing theanomalous dimensions of scalar operators in the planar N=6 superconformalChern-Simons theory of ABJM, we perform a direct coordinate Bethe ansatzcomputation of the corresponding two-loop S-matrix. The result matches with theweak-coupling limit of the scalar sector of the all-loop S-matrix which we haverecently proposed. In particular, we confirm that the scattering of A and Bparticles is reflectionless. As a warm up, we first review the analogouscomputation of the one-loop S-matrix from the one-loop dilatation operator forthe scalar sector of planar N=4 superconformal Yang-Mills theory, and comparethe result with the all-loop SU2|2^{2} S-matrix.

Author: ** Changrim Ahn, Rafael I. Nepomechie**

Source: https://arxiv.org/