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}.

1 + 16 pages, published version

References in corpus (6)

• The ultra-violet question in maximally supersymmetric field theories
• Construction of 6D supersymmetric field models in N=(1,0) harmonic superspace
• One-loop divergences in the 6D, N=(1,0) abelian gauge theory
• Five-dimensional supersymmetric Chern-Simons action as a hypermultiplet quantum correction
• Leading low-energy effective action in the 6D hypermultiplet theory on a vector/tensor background
• On effective Kähler potential in N=2, d=3 SQED

Cited by in corpus (2)

• On the two-loop divergences of the 2-point hypermultiplet supergraphs for $6D$, $\mathcal{N}=(1,1)$ SYM theory
• Chiral anomalies in six dimensions from harmonic superspace