### 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 |
---|---|

Article number | 012 |

Journal | Journal of High Energy Physics |

Volume | 2013 |

Issue number | 7 |

DOIs | |

Publication status | Published - 2013 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2013*(7), [012]. https://doi.org/10.1007/JHEP07(2013)012

**Two-loop low-energy effective actions in N =2 and N =4 three-dimensional SQED.** / Buchbinder, I. L.; Merzlikin, B. S.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2013, no. 7, 012. https://doi.org/10.1007/JHEP07(2013)012

}

TY - JOUR

T1 - Two-loop low-energy effective actions in N =2 and N =4 three-dimensional SQED

AU - Buchbinder, I. L.

AU - Merzlikin, B. S.

AU - Samsonov, I. B.

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Extended Supersymmetry

KW - Superspaces

KW - Supersymmetric gauge theory

KW - Supersymmetry and Duality

UR - http://www.scopus.com/inward/record.url?scp=84881414561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84881414561&partnerID=8YFLogxK

U2 - 10.1007/JHEP07(2013)012

DO - 10.1007/JHEP07(2013)012

M3 - Article

AN - SCOPUS:84881414561

VL - 2013

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 7

M1 - 012

ER -