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

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

**Effective action of three-dimensional extended supersymmetric matter on gauge superfield background.** / Buchbinder, I. L.; Pletnev, N. G.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2010, no. 4, 124. https://doi.org/10.1007/JHEP04(2010)124

}

TY - JOUR

T1 - Effective action of three-dimensional extended supersymmetric matter on gauge superfield background

AU - Buchbinder, I. L.

AU - Pletnev, N. G.

AU - Samsonov, I. B.

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

KW - Chern-simons theories

KW - Extended supersymmetry

KW - Superspaces

KW - Supersymmetric gauge theory

UR - http://www.scopus.com/inward/record.url?scp=77954949463&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954949463&partnerID=8YFLogxK

U2 - 10.1007/JHEP04(2010)124

DO - 10.1007/JHEP04(2010)124

M3 - Article

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 124

ER -