New Realisations of W Algebras and W Strings

Details New Realisations of W Algebras and W Strings New Realisations of W Algebras and W Strings

1992-03-09

arxiv.org/abs/hep-th/9203024v1

Mod.Phys.Lett.A7:1835-1842,1992

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1142/S0217732392001543

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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