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On Realisations of W Algebras

High Energy Physics - Theory 2009-10-07 v1

Abstract

It has been known for some time that WW 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 WW algebras are based. We give explicit formulae for all realisations of this kind, and discuss their applications in WW-string theory.

Keywords

Cite

@article{arxiv.hep-th/9204038,
  title  = {On Realisations of W Algebras},
  author = {H. Lu and C. N. Pope},
  journal= {arXiv preprint arXiv:hep-th/9204038},
  year   = {2009}
}

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11 pages