%0 Journal Article
%T Linearizing W-Algebras
%A S. Krivonos
%A A. Sorin
%J Physics
%D 1994
%I arXiv
%R 10.1016/0370-2693(94)91556-3
%X We show that the Zamolodchikov's and Polyakov-Bershadsky nonlinear algebras $W_3$ and $W_3^{(2)}$ can be embedded as subalgebras into some {\em linear} algebras with finite set of currents. Using these linear algebras we find new field realizations of $W_3^{(2)}$ and $W_3$ which could be a starting point for constructing new versions of $W$-string theories. We also reveal a number of hidden relationships between $W_3$ and $W_3^{(2)}$. We conjecture that similar linear algebras can exist for other $W$-algebras as well.
%U http://arxiv.org/abs/hep-th/9406005v1