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arXiv · hep-th/9406005

Linearizing W-Algebras

S. Krivonos·A. Sorin
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Abstract

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.

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S. Krivonos, A. Sorin. 1994-06-02. Linearizing W-Algebras. https://doi.org/10.1016/0370-2693(94)91556-3

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