### Abstract

We propose that certain twists of the su(2|2) S-matrix elements describe the β-deformation of N=4 supersymmetric Yang-Mills theory. We compute the perturbative four-loop anomalous dimension of the Konishi operator of the deformed gauge theory from the LÜscher formula based on these twisted S-matrix elements. The result agrees exactly with the perturbative gauge theory computations.

Original language | English |
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Pages (from-to) | 380-385 |

Number of pages | 6 |

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

Volume | 693 |

Issue number | 3 |

DOIs | |

Publication status | Published - Oct 1 2010 |

### Keywords

- AdS/CFT
- Beta-deformation
- Finite-size effect

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Ahn, C., Bajnok, Z., Bombardelli, D., & Nepomechie, R. I. (2010). Finite-size effect for four-loop Konishi of the β-deformed N=4 SYM.

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,*693*(3), 380-385. https://doi.org/10.1016/j.physletb.2010.08.056