## Abstract

The β-deformation is one of the two superconformal deformations of the N = 4 super-YangMills theory. At the planar level, it shares all of its properties except for supersymmetry, which is broken to the minimal amount. The tree-level amplitudes of this theory exhibit new features, which depart from the commonly assumed properties of gauge theories with fields in the adjoint representation. We analyze in detail complete one-loop amplitudes and a non-planar two-loop amplitude of this theory and show that, despite having only N = 1 supersymmetry, the two-loop amplitudes have a furtherimproved ultraviolet behavior. This phenomenon is a counterpart of a similar improvement previously observed in the double-trace amplitude of the N = 4 super-YangMills theory at three- and four-loop orders and points to the existence of additional structure in both the deformed and the undeformed theories.

Original language | English (US) |
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Article number | 295401 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 45 |

Issue number | 29 |

DOIs | |

State | Published - Jul 27 2012 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modeling and Simulation
- Mathematical Physics
- General Physics and Astronomy