### Abstract

We compute two-loop low-energy effective actions in Abelian Chern-Simons matter models with N=2 and N=3 supersymmetry up to four-derivative order. Calculations are performed with a slowly-varying gauge superfield background. Though the gauge superfield propagator depends on the gauge fixing parameter, it is shown that the obtained results are independent of this parameter. In the massless case the considered models are superconformal. We demonstrate that the superconformal symmetry strongly restricts the form of two-loop quantum corrections to the effective actions such that the obtained terms have simpler structure than the analogous ones in the effective action of three-dimensional supersymmetric electrodynamics (SQED) with vanishing topological mass.

Original language | English |
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Pages (from-to) | 42-70 |

Number of pages | 29 |

Journal | Nuclear Physics B |

Volume | 881 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2014 |

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### Keywords

- Chern-Simons model
- Effective action
- Extended supersymmetry
- Quantum electrodynamics

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Nuclear Physics B*,

*881*(1), 42-70. https://doi.org/10.1016/j.nuclphysb.2014.01.025