### 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 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

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## Cite this

Buchbinder, I. L., & Samsonov, I. B. (2000). The holomorphic effective action in N=2 D=4 supergauge theories with various gauge groups.

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