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arXiv · hep-th/9502108

Embedding of the Bosonic String into the $W_3$ String

H. Lu·C. N. Pope·K. S. Stelle·K. W. Xu
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Abstract

We investigate new realisations of the $W_3$ algebra with arbitrary central charge, making use of the fact that this algebra can be linearised by the inclusion of a spin-1 current. We use the new realisations with $c=102$ and $c=100$ to build non-critical and critical $W_3$ BRST operators. Both of these can be converted by local canonical transformations into a BRST operator for the Virasoro string with $c=28-2$, together with a Kugo-Ojima topological term. Consequently, these new realisations provide embeddings of the Virasoro string into non-critical and critical $W_3$ strings.

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H. Lu, C. N. Pope, K. S. Stelle, K. W. Xu. 1995-02-27. Embedding of the Bosonic String into the $W_3$ String. https://doi.org/10.1016/0370-2693(95)00379-y

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