Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit field realizations of W algebras   The fact that certain non-linear $W_{2,s}$ algebras can be linearized by the
inclusion of a spin-1 current can provide a simple way to realize $W_{2,s}$
algebras from linear $W_{1,2,s}$ algebras. In this paper, we first construct
the explicit field realizations of linear $W_{1,2,s}$ algebras with
double-scalar and double-spinor, respectively. Then, after a change of basis,
the realizations of $W_{2,s}$ algebras are presented. The results show that all
these realizations are Romans-type realizations.

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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org