### Abstract

We consider the theory of hypermultiplets in arbitrary representations of arbitrary semisimple gauge groups coupled to gauge superfields. Using the N=2 harmonic superspace formulation of these models, we find the general structure of the holomorphic effective action depending on the gauge superfield with values in the Cartan subalgebra of the gauge algebra. We find explicit expressions for the effective actions in the cases where the hypermultiplets are in the fundamental and adjoint representations of SU (n), SO(n), and Sp(2n).

Original language | English |
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Pages (from-to) | 371-379 |

Number of pages | 9 |

Journal | Theoretical and Mathematical Physics |

Volume | 122 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jan 2000 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Theoretical and Mathematical Physics*,

*122*(3), 371-379. https://doi.org/10.1007/BF02551250

**The holomorphic effective action in N=2 D=4 supergauge theories with various gauge groups.** / Buchbinder, I. L.; Samsonov, I. B.

Research output: Contribution to journal › Article

*Theoretical and Mathematical Physics*, vol. 122, no. 3, pp. 371-379. https://doi.org/10.1007/BF02551250

}

TY - JOUR

T1 - The holomorphic effective action in N=2 D=4 supergauge theories with various gauge groups

AU - Buchbinder, I. L.

AU - Samsonov, I. B.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - We consider the theory of hypermultiplets in arbitrary representations of arbitrary semisimple gauge groups coupled to gauge superfields. Using the N=2 harmonic superspace formulation of these models, we find the general structure of the holomorphic effective action depending on the gauge superfield with values in the Cartan subalgebra of the gauge algebra. We find explicit expressions for the effective actions in the cases where the hypermultiplets are in the fundamental and adjoint representations of SU (n), SO(n), and Sp(2n).

AB - We consider the theory of hypermultiplets in arbitrary representations of arbitrary semisimple gauge groups coupled to gauge superfields. Using the N=2 harmonic superspace formulation of these models, we find the general structure of the holomorphic effective action depending on the gauge superfield with values in the Cartan subalgebra of the gauge algebra. We find explicit expressions for the effective actions in the cases where the hypermultiplets are in the fundamental and adjoint representations of SU (n), SO(n), and Sp(2n).

UR - http://www.scopus.com/inward/record.url?scp=0034348950&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034348950&partnerID=8YFLogxK

U2 - 10.1007/BF02551250

DO - 10.1007/BF02551250

M3 - Article

AN - SCOPUS:0034348950

VL - 122

SP - 371

EP - 379

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 3

ER -