Higher-spin Realisations of the Bosonic String

Details Higher-spin Realisations of the Bosonic String Higher-spin Realisations of the Bosonic String

1995-03-23

arxiv.org/abs/hep-th/9503159v1

Mod.Phys.Lett.A10:1857-1864,1995

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. CTP TAMU-10/95.

Scientific paper

10.1142/S0217732395002003

It has been shown that certain $W$ algebras can be linearised by the inclusion of a spin--1 current. This provides a way of obtaining new realisations of the $W$ algebras. Recently such new realisations of $W_3$ were used in order to embed the bosonic string in the critical and non-critical $W_3$ strings. In this paper, we consider similar embeddings in $W_{2,4}$ and $W_{2,6}$ strings. The linearisation of $W_{2,4}$ is already known, and can be achieved for all values of central charge. We use this to embed the bosonic string in critical and non-critical $W_{2,4}$ strings. We then derive the linearisation of $W_{2,6}$ using a spin--1 current, which turns out to be possible only at central charge $c=390$. We use this to embed the bosonic string in a non-critical $W_{2,6}$ string.

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