Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Graded Hopf Maps and Fuzzy Superspheres   We argue supersymmetric generalizations of fuzzy two- and four-spheres based
on the unitary-orthosymplectic algebras, $uosp(N|2)$ and $uosp(N|4)$,
respectively. Supersymmetric version of Schwinger construction is applied to
derive graded fully symmetric representation for fuzzy superspheres. As a
classical counterpart of fuzzy superspheres, graded versions of 1st and 2nd
Hopf maps are introduced, and their basic geometrical structures are studied.
It is shown that fuzzy superspheres are represented as a "superposition" of
fuzzy superspheres with lower supersymmetries. We also investigate algebraic
structures of fuzzy two- and four-superspheres to identify $su(2|N)$ and
$su(4|N)$ as their enhanced algebraic structures, respectively. Evaluation of
correlation functions manifests such enhanced structure as quantum fluctuations
of fuzzy supersphere.

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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat