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arXiv · hep-th/9203024

New Realisations of W Algebras and W Strings

H. Lu·C. N. Pope·S. Schrans·X. J. Wang
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Abstract

We discuss new realisations of $W$ algebras in which the currents are expressed in terms of two arbitrary commuting energy-momentum tensors together with a set of free scalar fields. This contrasts with the previously-known realisations, which involve only one energy-momentum tensor. Since realisations of non-linear algebras are not easy to come by, the fact that this new class exists is of intrinsic interest. We use these new realisations to build the corresponding $W$-string theories and show that they are effectively described by two independent ordinary Virasoro-like strings.

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H. Lu, C. N. Pope, S. Schrans, X. J. Wang. 1992-03-09. New Realisations of W Algebras and W Strings. https://doi.org/10.1142/s0217732392001543

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