### 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 |

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### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Two-loop test of the N = 6 Chern-Simons theory S-matrix.** / Ahn, Changrim; Nepomechie, Rafael.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2009, no. 3, 144. https://doi.org/10.1088/1126-6708/2009/03/144

}

TY - JOUR

T1 - Two-loop test of the N = 6 Chern-Simons theory S-matrix

AU - Ahn, Changrim

AU - Nepomechie, Rafael

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - AdS-CFT correspondence

KW - Bethe ansatz

KW - Exact S-Matrix

KW - Gauge-gravity correspondence

UR - http://www.scopus.com/inward/record.url?scp=67649602451&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67649602451&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2009/03/144

DO - 10.1088/1126-6708/2009/03/144

M3 - Article

AN - SCOPUS:67649602451

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 3

M1 - 144

ER -