### Abstract

We study the low-energy effective actions for gauge superfields induced by quantum N = 2 and N = 4 supersymmetric matter fields in three-dimensional Minkowski space. Analyzing the superconformal invariants in the N = 2 superspace we propose a general form of the N = 2 gauge invariant and superconformal effective action. The leading terms in this action are fixed by the symmetry up to the coefficients while the higher order terms with respect to the Maxwell field strength are found up to one arbitrary function of quasi-primary N = 2 superfields constructed from the superfield strength and its covariant spinor derivatives. Then we find this function and the coefficients by direct quantum computations in the N = 2 superspace. The effective action of N = 4 gauge multiplet is obtained by generalizing the N = 2 effective action.

Original language | English |
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Article number | 124 |

Journal | Journal of High Energy Physics |

Volume | 2010 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2010 |

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### Keywords

- Chern-simons theories
- Extended supersymmetry
- Superspaces
- Supersymmetric gauge theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2010*(4), [124]. https://doi.org/10.1007/JHEP04(2010)124