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

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

**On low-energy effective action of noncommutative hypermultiplet model.** / Samsonov, I. B.

Research output: Contribution to journal › Article

*Modern Physics Letters A*, vol. 16, no. 40, pp. 2591-2603. https://doi.org/10.1142/S0217732301006016

}

TY - JOUR

T1 - On low-energy effective action of noncommutative hypermultiplet model

AU - Samsonov, I. B.

PY - 2001/12/28

Y1 - 2001/12/28

N2 - 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.

AB - 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.

KW - Effective action

KW - Hypermultiplet

KW - Noncommutative geometry

KW - Supersymmetry

UR - http://www.scopus.com/inward/record.url?scp=0035966357&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035966357&partnerID=8YFLogxK

U2 - 10.1142/S0217732301006016

DO - 10.1142/S0217732301006016

M3 - Article

VL - 16

SP - 2591

EP - 2603

JO - Modern Physics Letters A

JF - Modern Physics Letters A

SN - 0217-7323

IS - 40

ER -