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

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.

arXiv comment1+14 pages; v2: minor corrections

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• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• On the two-loop divergences of the 2-point hypermultiplet supergraphs for $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ abelian theory
• Chiral anomalies in six dimensions from harmonic superspace
• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• On the two-loop divergences in 6D, $\mathcal{N}=(1,1)$ SYM theory
• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation
• On two-loop divergences of effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Higher-dimensional invariants in $6D$ super Yang-Mills theory
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
• Hidden supersymmetry as a key to constructing low-energy superfield effective actions
• Supersymmetry at BLTP: Recent Progress in Two Directions
• On a structure of the one-loop divergences in $4D,\mathcal{N}=2$ supersymmetric sigma-model