HIGHER SPIN REALIZATIONS OF THE BOSONIC STRING

It has been shown that certain W algebras can be linearized by the inclusion of a spin-one current. This provides a way of obtaining new realizations of the W algebras. Recently such new realizations of W-3 were used in order to embed the bosonic string in the critical and noncritical W-3 strings. In this letter, we consider similar embeddings in W-2,W-4 and W-2,W-6 strings. The linearization of W-2,W-4 is already known, and can be achieved for all values of central charge. We use this to embed the bosonic string in critical and noncritical W-2,W-4 strings. We then derive the linearization of W-2,W-6 using a spin-one current, which turns out to be possible only at central charge c = 390. We use this to embed the bosonic string in a noncritical W-2,W-6 string.