### Abstract

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 language | English (US) |
---|---|

Article number | 144 |

Journal | Journal of High Energy Physics |

Volume | 2009 |

Issue number | 3 |

DOIs | |

State | Published - 2009 |

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics