Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supergraph calculation of one-loop divergences in higher-derivative $6D$
  SYM theory   We apply the harmonic superspace approach for calculating the divergent part
of the one-loop effective action of $6D$, ${\cal N}=(1,0)$ supersymmetric
higher-derivative gauge theory with a dimensionless coupling constant. Our
consideration uses the background superfield method allowing to carry out the
analysis of the effective action in a manifestly gauge covariant and ${\cal
N}=(1,0)$ supersymmetric way. We exploit the regularization by dimensional
reduction in which the divergences are absorbed into a renormalization of the
coupling constant. Having the expression for the one-loop divergences, we
calculate the relevant $\beta$-function. Its sign is specified by the overall
sign of the classical action which in higher-derivative theories is not fixed
{\it a priori}. The result agrees with the earlier calculations in the
component approach. The superfield calculation is simpler and provides
possibilities for various generalizations.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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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: stat
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The categories of this paper are: math