### Abstract

We study two-loop Euler-Heisenberg effective actions in three-dimensional N =2 and N =4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying N =2 gauge superfield. Using these propagators we compute two-loop effective actions in the N =2 and N =4 SQED as the functionals of superfield strengths and their covariant spinor derivatives. The obtained effective actions contain new terms having no four-dimensional analogs. As an application, we find two-loop quantum corrections to the moduli space metric in the N =2 SQED.

Original language | English |
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Article number | 012 |

Journal | Journal of High Energy Physics |

Volume | 2013 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2013 |

### Keywords

- Extended Supersymmetry
- Superspaces
- Supersymmetric gauge theory
- Supersymmetry and Duality

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

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## Cite this

Buchbinder, I. L., Merzlikin, B. S., & Samsonov, I. B. (2013). Two-loop low-energy effective actions in N =2 and N =4 three-dimensional SQED.

*Journal of High Energy Physics*,*2013*(7), [012]. https://doi.org/10.1007/JHEP07(2013)012