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

S. Bellucci; S. Krivonos; A. Sorin

doi:10.1016/0370-2693(95)00002-3

paper

Linearizing $W_{2, 4}$ and $W B_{2}$ Algebras

arXiv:hep-th/9411168 · doi:10.1016/0370-2693(95)00002-3

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 $W B_{2}$ 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.

13 pages, LaTeX

Linearizing W2,4​ and WB2​ Algebras

Abstract

Linearizing $W_{2, 4}$ and $W B_{2}$ Algebras