On Low-Energy Effective Action of Noncommutative Hypermultiplet Model

Details On Low-Energy Effective Action of Noncommutative Hypermultiplet Model On Low-Energy Effective Action of Noncommutative Hypermultiplet Model

2001-10-22

arxiv.org/abs/hep-th/0110203v2

Mod.Phys.Lett. A16 (2001) 2591-2604

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 4 figures. v2: minor changes, refs added

Scientific paper

10.1142/S0217732301006016

We consider the noncommutative hypermultiplet model within harmonic superspace approach. The 1-loop four-point contributions to the effective action of selfinteracting q-hypermultiplet are computed. This model has two coupling constants instead of a single one in commutative case. It is shown that both these coupling constants are generated by 1-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 star-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 are related to U(1) phase of U(N) group.

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