Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Supersymmetry As a Matrix Model   Using parafermionic field theoretical methods, the fundamentals of 2d
fractional supersymmetry ${\bf Q}^{K} =P$ are set up. Known difficulties
induced by methods based on the $U_{q}(sl(2))$ quantum group representations
and non commutative geometry are overpassed in the parafermionic approach.
Moreover we find that fractional supersymmetric algebras are naturally realized
as matrix models. The K=3 case is studied in details. Links between 2d
$({1\over 3},0)$ and $(({1\over 3}^{2}),0)$ fractional supersymmetries and N=2
U(1) and N=4 su(2) standard supersymmetries respectively are exhibited. Field
theoretical models describing the self couplings of the matter multiplets
$(0^{2},({1\over 3})^{2},({2\over 3})^{2})$ and $(0^{4},({1\over
3})^{4},({2\over 3})^{4})$ are given.

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The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
2
The categories of this paper are: math