Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On gauge dependence of the one-loop divergences in $6D$, ${\cal N} =
  (1,0)$ and ${\cal N} = (1,1)$ SYM theories   We study the gauge dependence of one-loop divergences in a general
matter-coupled $6D$, ${\cal N}=(1,0)$ supersymmetric gauge theory in the
harmonic superspace formulation. Our analysis is based on the effective action
constructed by the background superfield method, with the gauge-fixing term
involving one real parameter $\xi_0$. A manifestly gauge invariant and ${\cal
N}=(1,0)$ supersymmetric procedure for calculating the one-loop effective
action is developed. It yields the one-loop divergences in an explicit form and
allows one to investigate their gauge dependence. As compared to the minimal
gauge, $\xi_0=1$, the divergent part of the general-gauge effective action
contains a new term depending on $\xi_0\,$. This term vanishes for the
background superfields satisfying the classical equations of motion, so that
the $S$-matrix divergences are gauge-independent. In the case of $6D$, ${\cal
N} = (1,1)$ SYM theory we demonstrate that some divergent contributions in the
non-minimal gauges do not vanish off shell, as opposed to the minimal gauge.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: physics