Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Realization of the Cohen-Glashow Very Special Relativity   We show that the Cohen-Glashow Very Special Relativity (VSR) theory [1] can
be realized as the part of the Poincar\'e symmetry preserved on a
noncommutative Moyal plane with light-like noncommutativity. Moreover, we show
that the three subgroups relevant to the Cohen-Glashow VSR can also be realized
in the noncommutative space-time setting. For all these three cases the
noncommutativity parameter $\theta^{\mu\nu}$ should be light-like
($\theta^{\mu\nu}\theta_{\mu\nu}=0$). A fixed constant noncommutativity
parameter respects the T(2) subgroup of Lorentz, while for the E(2) and SIM(2)
cases the form of noncommutativity among the coordinates should be of linear
(Lie algebra) and quadratic (quantum group) type, respectively. We discuss some
physical implications of this realization of the Cohen-Glashow VSR.

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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat