Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Linearization Versus Nonlinearity of $W$-Algebras   We review the new approach to the theory of nonlinear $W$-algebras which is
developed recently and called {\it conformal linearization}. In this approach
$W$-algebras are embedded as subalgebras into some {\it linear conformal}
algebras with a finite set of currents and most of their properties could be
understood in a much simpler way by studing their linear counterpart. The
general construction is illustrated by the examples of $u(N)$-superconformal,
$W(sl(N),sl(2))$, $W(sl(N),sl(N))$ as well as $W(sl(N),sl(3))$ algebras.
Applications to the construction of realizations (included modulo null fields
realizations) as well as central charge spectrum for minimal models of
nonlinear algebras are discussed. (To appear in ``Geometry and Integrable
Models'', Eds.: P.N.Pyatov & S.N.Solodukhin, World Scientific Publ. Co. (in
press)).

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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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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: math
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci