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

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

**Low-energy effective actions in three-dimensional extended SYM theories.** / Buchbinder, I. L.; Pletnev, N. G.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 2011, no. 1, 121. https://doi.org/10.1007/JHEP01(2011)121

}

TY - JOUR

T1 - Low-energy effective actions in three-dimensional extended SYM theories

AU - Buchbinder, I. L.

AU - Pletnev, N. G.

AU - Samsonov, I. B.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - Brane dynamics in gauge theories

KW - Extended supersymmetry

KW - Superspaces

KW - Supersymmetric gauge theory

UR - http://www.scopus.com/inward/record.url?scp=80053117118&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053117118&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2011)121

DO - 10.1007/JHEP01(2011)121

M3 - Article

VL - 2011

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 121

ER -