## Abstract

We compute perturbative worldsheet S-matrix elements in the bosonic sector for β-deformed AdS/CFT in strong and weak 't Hooft coupling limits and compare with the exact S-matrix. For our purpose we take near BMN limit of TsT-transformed AdS_{5}×S^{5} with the twisted boundary condition and compute the S-matrix on worldsheet using light-cone gauge fixed Lagrangian. For the weak coupling side, we compute the S-matrix in SU(3) sector by applying coordinate Bethe ansatz method to one-loop dilatation operator obtained from the deformed super Yang-Mills theory. These analysis support the conjectured exact S-matrix in the leading order for both sides of β-deformed AdS/CFT along with the appropriate twisted boundary conditions.

Original language | English |
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Pages (from-to) | 458-463 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 719 |

Issue number | 4-5 |

DOIs | |

State | Published - 26 Feb 2013 |

### Bibliographical note

Funding Information:We thank Zoltan Bajnok, Diego Bombardelli, Rouven Frassek, Tristan McLoughlin, Rafael Nepomechie and Per Sundin for valuable discussions and comments. This work was supported in part by WCU Grant No. R32-2008-000-101300 (C.A.), and by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) through the Center for Quantum Spacetime (CQUeST) of Sogang University with grant number 2005-0049409 (M.K. and B.-H.L.).