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arXiv · 2103.12054

One-loop divergences in the six-dimensional $\cal{N}=(1,0)$ hypermultiplet self-coupling model

A. S. Budekhina·B. S. Merzlikin
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Abstract

We study the six-dimensional $\cal{N}=(1,0)$ supersymmetric hypermultiplet model with arbitrary self-coupling. The model is considered in the external classical gauge superfield background. Using the harmonic superspace formulation we study the one-loop effective action of the model. We calculate the one-loop divergences in the theory as a gauge-invariant function of the external gauge multiplet. We demonstrate that the one-loop divergences in the theory do not vanish even in the case of on-shell hypermultiplet background. We briefly discuss an application of the developed technique to the hypermultiplet model in four dimensions.

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A. S. Budekhina, B. S. Merzlikin. 2021-03-22. One-loop divergences in the six-dimensional $\cal{N}=(1,0)$ hypermultiplet self-coupling model. https://doi.org/10.1103/physrevd.104.106010

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