English

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

High Energy Physics - Theory 2017-02-08 v3

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}.

Keywords

Cite

@article{arxiv.1612.03190,
  title  = {One-loop divergences in 6D, N=(1,0) SYM theory},
  author = {I. L. Buchbinder and E. A. Ivanov and B. S. Merzlikin and K. V. Stepanyantz},
  journal= {arXiv preprint arXiv:1612.03190},
  year   = {2017}
}

Comments

1 + 16 pages, published version

R2 v1 2026-06-22T17:19:10.226Z