Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: (Weak) G_2 Holonomy from Self-duality, Flux and Supersymmetry   The aim of this paper is two-fold. First, we provide a simple and pedagogical
discussion of how compactifications of M-theory or supergravity preserving some
four-dimensional supersymmetry naturally lead to reduced holonomy or its
generalization, reduced weak holonomy. We relate the existence of a (conformal)
Killing spinor to the existence of certain closed and co-closed p-forms, and to
the metric being Ricci flat or Einstein. Then, for seven-dimensional manifolds,
we show that octonionic self-duality conditions on the spin connection are
equivalent to G_2 holonomy and certain generalized self-duality conditions to
weak G_2 holonomy. The latter lift to self-duality conditions for
cohomogeneity-one spin(7) metrics. To illustrate the power of this approach, we
present several examples where the self-duality condition largely simplifies
the derivation of a G_2 or weak G_2 metric.

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The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
2
The categories of this paper are: math
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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: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio