One-loop divergences in the 6D, N=(1,0) abelian gauge theory

I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, K. V. Stepanyantz

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Abstract

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric model of abelian gauge multiplet coupled to a hypermultiplet. The superficial degree of divergence is evaluated and the structure of possible one-loop divergences is analyzed. Using the superfield proper-time and background-field technique, we compute the divergent part of the one-loop effective action depending on both the gauge multiplet and the hypermultiplet. The corresponding counterterms contain the purely gauge multiplet contribution together with the mixed contributions of the gauge multiplet and hypermultiplet. We show that the theory is on-shell one-loop finite in the gauge multiplet sector in agreement with the results of [1]. The divergences in the mixed sector cannot be eliminated by any field redefinition, implying the theory to be UV divergent at one loop.

Original languageEnglish
Pages (from-to)375-381
Number of pages7
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume763
DOIs
Publication statusPublished - 10 Dec 2016

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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