Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 3D gauged supergravity from SU(2) reduction of $N=1$ 6D supergravity   We obtain Yang-Mills $SU(2)\times G$ gauged supergravity in three dimensions
from $SU(2)$ group manifold reduction of (1,0) six dimensional supergravity
coupled to an anti-symmetric tensor multiplet and gauge vector multiplets in
the adjoint of $G$. The reduced theory is consistently truncated to $N=4$ 3D
supergravity coupled to $4(1+\textrm{dim}\, G)$ bosonic and $4(1+\textrm{dim}\,
G)$ fermionic propagating degrees of freedom. This is in contrast to the
reduction in which there are also massive vector fields. The scalar manifold is
$\mathbf{R}\times \frac{SO(3,\, \textrm{dim}\, G)}{SO(3)\times
SO(\textrm{dim}\, G)}$, and there is a $SU(2)\times G$ gauge group. We then
construct $N=4$ Chern-Simons $(SO(3)\ltimes \mathbf{R}^3)\times (G\ltimes
\mathbf{R}^{\textrm{dim}G})$ three dimensional gauged supergravity with scalar
manifold $\frac{SO(4,\,1+\textrm{dim}G)}{SO(4)\times SO(1+\textrm{dim}G)}$ and
explicitly show that this theory is on-shell equivalent to the Yang-Mills
$SO(3)\times G$ gauged supergravity theory obtained from the $SU(2)$ reduction,
after integrating out the scalars and gauge fields corresponding to the
translational symmetries $\mathbf{R}^3\times \mathbf{R}^{\textrm{dim}\, G}$.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom