MORE ON THE LINEARIZATION OF $W$-ALGEBRAS

Abstract

We show that a wide class of $W$-(super)algebras, including $W_N^{(N-1)}$, $U(N)$-superconformal as well as $W_N$ nonlinear algebras, can be linearized by embedding them as subalgebras into some {\em linear} (super)conformal algebras with finite sets of currents. The general construction is illustrated by the example of $W_4$ algebra.

LaTeX, 13 pages, minor corrections and added reference.

References in corpus (1)

• Embedding of the Bosonic String into the $W_3$ String

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• Physical States and BRST Operators for Higher-spin $W$ Strings
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• Explicit field realizations of W algebras
• W$(2,4)$, Linear and Non-local \W-Algebras in Sp(4) Particle Model