### Abstract

We develop the background field method in the N = 2, d = 3 superspace for studying effective actions in three-dimensional SYM models which live in the world-volume of various 2-branes. In particular, the low-energy effective action for the N = 2 quiver gauge theory with four chiral superfields in the bifundamental representation is calculated and studied. This gauge theory describes a D2 brane probing the conifold singularity. Surprisingly, the scale-invariant part of this effective action coincides with the classical action of the Abelian ABJM theory. Apart from this N = 2 quiver gauge theory we study the low-energy effective action in pure N = 2, N = 4 and N = 8 SYM theories with gauge group SU(N) spontaneously broken down to an Abelian subgroup. In particular, for the N = 4 SYM we find similar correspondence between its one-loop effective action and the classical action of the Abelian Gaiotto-Witten theory.

Original language | English |
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Article number | 121 |

Journal | Journal of High Energy Physics |

Volume | 2011 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2011 |

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### Keywords

- Brane dynamics in gauge theories
- Extended supersymmetry
- Superspaces
- Supersymmetric gauge theory

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*2011*(1), [121]. https://doi.org/10.1007/JHEP01(2011)121