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New Realisations of W Algebras and W Strings

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arxiv hep-th/9203024 v1 pith:ADQETZ5I submitted 1992-03-09 hep-th

classification hep-th
keywords realisationsalgebrasenergy-momentumstringsarbitrarybuildclasscome
verification ladder T0 review T1 audit T2 compute T3 formal
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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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