On Low-Energy Effective Action of Noncommutative Hypermultiplet Model

Abstract

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.

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

References in corpus (4)

• The Meaning of Infrared Singularities in Noncommutative Gauge Theories
• Exact Results in Noncommutative $\mathcal{N}=2$ Supersymmetric Gauge Theories
• On non-commutative N=2 super Yang-Mills
• Superfield Effective Action in the Noncommutative Wess-Zumino Model

Cited by in corpus (4)

• Nilpotent deformations of N=2 superspace
• Non-anticommutativity in Presence of a Boundary
• Renormalization of the energy-momentum tensor in noncommutative scalar field theory
• One-loop renormalization of general noncommutative Yang-Mills field model coupled to scalar and spinor fields