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arxiv: hep-th/9503118 · v2 · submitted 1995-03-18 · ✦ hep-th

MORE ON THE LINEARIZATION OF W-ALGEBRAS

classification ✦ hep-th
keywords algebrassuperalgebraclassconformalconstructioncurrentsembedding
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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.

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