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arXiv · 1612.03190

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

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I. L. Buchbinder, E. A. Ivanov, B. S. Merzlikin, K. V. Stepanyantz. 2016-12-09. One-loop divergences in 6D, N=(1,0) SYM theory. https://doi.org/10.1007/jhep01(2017)128

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