### Abstract

We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS _{5} × S ^{5} background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

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

Pages (from-to) | 209-229 |

Number of pages | 21 |

Journal | Letters in Mathematical Physics |

Volume | 99 |

Issue number | 1-3 |

DOIs | |

State | Published - Jan 2012 |

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### Keywords

- AdS/CFT
- Bethe ansatz
- exact S-matrix
- Yang-Baxter equation

### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

**Review of AdS/CFT Integrability, Chapter III.2 : Exact World-Sheet S-Matrix.** / Ahn, Changrim; Nepomechie, Rafael.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 99, no. 1-3, pp. 209-229. https://doi.org/10.1007/s11005-011-0478-9

}

TY - JOUR

T1 - Review of AdS/CFT Integrability, Chapter III.2

T2 - Exact World-Sheet S-Matrix

AU - Ahn, Changrim

AU - Nepomechie, Rafael

PY - 2012/1

Y1 - 2012/1

N2 - We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS 5 × S 5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

AB - We review the derivation of the S-matrix for planar N = 4 supersymmetric Yang-Mills theory and type IIB superstring theory on an AdS 5 × S 5 background. After deriving the S-matrix for the su(2) and su(3) sectors at the one-loop level based on coordinate Bethe ansatz, we show how su(2{pipe}2) symmetry leads to the exact asymptotic S-matrix up to an overall scalar function. We then briefly review the spectrum of bound states by relating these states to simple poles of the S-matrix. Finally, we review the derivation of the asymptotic Bethe equations, which can be used to determine the asymptotic multiparticle spectrum.

KW - AdS/CFT

KW - Bethe ansatz

KW - exact S-matrix

KW - Yang-Baxter equation

UR - http://www.scopus.com/inward/record.url?scp=84856152238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856152238&partnerID=8YFLogxK

U2 - 10.1007/s11005-011-0478-9

DO - 10.1007/s11005-011-0478-9

M3 - Article

AN - SCOPUS:84856152238

VL - 99

SP - 209

EP - 229

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 1-3

ER -