Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiparticle $\mathcal{N}{=}\,8$ mechanics with $F(4)$ superconformal
  symmetry   We present a new multiparticle model of $\mathcal{N}{=}\,8$ mechanics with
superconformal $F(4)$ symmetry. The system is constructed in terms of two
matrix $\mathcal{N}{=}\,4$ multiplets. One of them is a bosonic matrix $({\bf
1, 4, 3})$ multiplet and another is a fermionic $({\bf 0, 4, 4})$ one.
Off-diagonal bosonic components of the $({\bf 1, 4, 3})$ multiplet are chosen
to take values in the flag manifold $\mathrm{U}(n)/[\mathrm{U}(1)]^n$ and they
carry additional gauge symmetries. The explicit form of the $F(4)$
supersymmetry generators is found. We demonstrate that the $F(4)$ superalgebra
constructed contains as subalgebras two different $D(2,1;\alpha\,{=}{-}1/3)$
superalgebras intersecting over the common $sl(2,\mathbb{R})\oplus su(2)$
subalgebra.

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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc