One-loop divergences in 6D, N=(1,0) SYM theory

Abstract

We consider, in the harmonic superspace approach, the six-dimensional N=(1,0) supersymmetric Yang-Mills gauge multiplet minimally coupled to a hypermultiplet in an arbitrary representation of the gauge group. Using the superfield proper-time and background-field techniques, we compute the divergent part of the one-loop effective action depending on both the gauge multiplet and the hypermultiplet. We demonstrate that in the particular case of N=(1,1) SYM theory, which corresponds to the hypermultiplet in the adjoint representation, all one-loop divergencies vanish, so that N=(1,1) SYM theory is one-loop finite {\it off shell}.

arXiv comment1 + 16 pages, published version

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Cited by in corpus (20)

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• The low-energy N=4 SYM effective action in diverse harmonic superspaces
• Self-dual 6d 2-form fields coupled to non-abelian gauge field: quantum corrections
• Gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ abelian theory
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• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• On gauge dependence of the one-loop divergences in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ SYM theories
• BRST-BV quantization of gauge theories with global symmetries
• Low-energy $6D$, $\mathcal{N}=(1,1)$ SYM effective action beyond the leading approximation
• On the two-loop divergences in 6D, $\mathcal{N}=(1,1)$ SYM theory
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
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