Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law   We consider $\kappa$-deformed relativistic symmetries described algebraically
by modified Majid-Ruegg bicrossproduct basis and investigate the quantization
of field oscillators for the $\kappa$-deformed free scalar fields on
$\kappa$-Minkowski space. By modification of standard multiplication rule, we
postulate the $\kappa$-deformed algebra of bosonic creation and annihilation
operators. Our algebra permits to define the n-particle states with classical
addition law for the fourmomenta in a way which is not in contradiction with
the nonsymmetric quantum fourmomentum coproduct. We introduce $\kappa$-deformed
Fock space generated by our $\kappa$-deformed oscillators which satisfy the
standard algebraic relations with modified $\kappa$-multiplication rule. We
show that such a $\kappa$-deformed bosonic Fock space is endowed with the
conventional bosonic symmetry properties. Finally we discuss the role of
$\kappa$-deformed algebra of oscillators in field-theoretic noncommutative
framework.

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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: mtrl-th