MORE ON THE LINEARIZATION OF $W$-ALGEBRAS

Details MORE ON THE LINEARIZATION OF $W$-ALGEBRAS MORE ON THE LINEARIZATION OF $W$-ALGEBRAS

1995-03-18

arxiv.org/abs/hep-th/9503118v2

Int.J.Mod.Phys. A11 (1996) 5739-5760

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 13 pages, minor corrections and added reference.

Scientific paper

10.1142/S0217751X96002649

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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