### Abstract

We consider the noncommutative hypermultiplet model within harmonic superspace approach. The one-loop four-point contributions to the effective action of self-interacting q-hypermultiplet axe computed. This model has two coupling constants instead of a single one in commutative case. It is shown that both coupling constants are generated by one-loop quantum corrections in the model of q-hypermultiplet interacting with vector multiplet. The holomorphic effective action of q-hypermultiplet in external gauge superfield is calculated. For the fundamental representation there is no uv/ir-mixing and the holomorphic potential is a *-product generalization of a standard commutative one. For the adjoint representation of U(N) gauge group the leading contributions to the holomorphic effective action are given by the terms respecting for the uv/ir-mixing which axe related to U(1) phase of U(N) group.

Original language | English |
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Pages (from-to) | 2591-2603 |

Number of pages | 13 |

Journal | Modern Physics Letters A |

Volume | 16 |

Issue number | 40 |

DOIs | |

Publication status | Published - 28 Dec 2001 |

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### Keywords

- Effective action
- Hypermultiplet
- Noncommutative geometry
- Supersymmetry

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Astronomy and Astrophysics

### Cite this

*Modern Physics Letters A*,

*16*(40), 2591-2603. https://doi.org/10.1142/S0217732301006016