Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recursive Fermion System in Cuntz Algebra.I -- Embeddings of Fermion
  Algebra into Cuntz Algebra ---   Embeddings of the CAR (canonical anticommutation relations) algebra of
fermions into the Cuntz algebra ${\cal O}_2$ (or ${\cal O}_{2d}$ more
generally) are presented by using recursive constructions. As a typical
example, an embedding of CAR onto the U(1)-invariant subalgebra of ${\cal O}_2$
is constructed explicitly. Generalizing this construction to the case of ${\cal
O}_{2^p}$, an embedding of CAR onto the U(1)-invariant subalgebra of ${\cal
O}_{2^p}$ is obtained. Restricting a permutation representation of the Cuntz
algebra, we obtain the Fock representation of CAR. We apply the results to
embed the algebra of parafermions of order $p$ into ${\cal O}_{2^p}$ according
to the Green's ansatz.

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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: supr-con