Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $Spin(7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity   We continue the investigation into non-maximally symmetric compactifications
of the heterotic string. In particular, we consider compactifications where the
internal space is allowed to depend on two or more external directions. For
preservation of supersymmetry, this implies that the internal space must in
general be that of a $Spin(7)$ manifold, which leads to a $1/4$-BPS
four-dimensional supersymmetric perturbative vacuum breaking all but one
supercharge. We find that these solutions allow for internal geometries
previously excluded by the domain-wall-type solutions, and hence the resulting
four-dimensional superpotential is more generic. In particular, we find an
interesting resemblance to the superpotentials that appear in non-geometric
flux compactifications of type II string theory. If the vacua are to be used
for phenomenological applications, they must be lifted to maximal symmetry by
some non-perturbative or higher-order effect.

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The categories of this paper are: eess
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The categories of this paper are: nlin
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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: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg