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arXiv · hep-th/9411168

Linearizing $W_{2,4}$ and $WB_2$ Algebras

S. Bellucci·S. Krivonos·A. Sorin
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Abstract

It has recently been shown that the $W_3$ and $W_3^{(2)}$ algebras can be considered as subalgebras in some linear conformal algebras. In this paper we show that the nonlinear algebras $W_{2,4}$ and $WB_2$ as well as Zamolodchikov's spin $5/2$ superalgebra also can be embedded as subalgebras into some linear conformal algebras with a finite set of currents. These linear algebras give rise to new realizations of the nonlinear algebras which could be suitable in the construction of $W$-string theories.

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S. Bellucci, S. Krivonos, A. Sorin. 1994-11-30. Linearizing $W_{2,4}$ and $WB_2$ Algebras. https://doi.org/10.1016/0370-2693(95)00002-3

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