On Realisations of W Algebras

Details On Realisations of W Algebras On Realisations of W Algebras

1992-04-14

arxiv.org/abs/hep-th/9204038v1

Phys.Lett.B286:63-70,1992

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(92)90159-2

It has been known for some time that $W$ algebras can be realised in terms of an energy-momentum tensor together with additional free scalar fields. Some recent results have shown that more general realisations are also possible. In this paper, we consider a wide class of realisations that may be obtained from the Miura transformation, related to the existence of canonical subalgebras of the Lie algebras on which the $W$ algebras are based. We give explicit formulae for all realisations of this kind, and discuss their applications in $W$-string theory.

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