Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balanced Hermitian geometry on 6-dimensional nilmanifolds   The invariant balanced Hermitian geometry of nilmanifolds of dimension 6 is
described. We prove that the holonomy group of the associated Bismut connection
reduces to a proper subgroup of SU(3) if and only if the complex structure is
abelian. As an application we show that if J is abelian then any invariant
balanced J-Hermitian structure provides solutions of the Strominger system.

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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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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: chem-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: eess
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga