Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal $D=7$ Supergravity and the supersymmetry of Arnold-Beltrami Flux
  branes   In this paper we study some properties of the newly found Arnold-Beltrami
flux-brane solutions to the minimal $D=7$ supergravity. To this end we first
single out the appropriate Free Differential Algebra containing both a gauge
$3$-form $\mathbf{B}^{[3]}$ and a gauge $2$-form $\mathbf{B}^{[2]}$: then we
present the complete rheonomic parametrization of all the generalized
curvatures. This allows us to identify two-brane configurations with
Arnold-Beltrami fluxes in the transverse space with exact solutions of
supergravity and to analyze the Killing spinor equation in their background. We
find that there is no preserved supersymmetry if there are no additional
translational Killing vectors. Guided by this principle we explicitly construct
Arnold-Beltrami flux two-branes that preserve $0$, $1/8$ and $1/4$ of the
original supersymmetry. Two-branes without fluxes are instead BPS states and
preserve $1/2$ supersymmetry. For each two-brane solution we carefully study
its discrete symmetry that is always given by some appropriate crystallographic
group $\Gamma$. Such symmetry groups $\Gamma$ are transmitted to the $D=3$
gauge theories on the brane world--volume that occur in the gauge/gravity
correspondence. Furthermore we illustrate the intriguing relation between gauge
fluxes in two-brane solutions and hyperinstantons in $D=4$ topological
sigma-models.

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The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas