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

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

1994-11-23

arxiv.org/abs/hep-th/9411168v2

Phys.Lett. B347 (1995) 260-268

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX

Scientific paper

10.1016/0370-2693(95)00002-3

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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