A QFT approach to W_{1+infty}

Details A QFT approach to W_{1+infty} A QFT approach to W_{1+infty}

1995-12-20

arxiv.org/abs/hep-th/9512160v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX2e, no figures. To appear in Proc. 2nd Workshop New Trends in QFT (August 1995), Razlog, Bulgaria

Scientific paper

W_{1+infty} is defined as an infinite dimensional Lie algebra spanned by the unit operator and the Laurent modes of a series of local quasiprimary chiral fields V^l(z) of dimension l+1 (l=0,1,2,...). These fields are neutral with respect to the u(1) current J(z)=V^0(z); as a result the (l+2)-fold commutator of J with V^l vanishes. We outline a construction of rational conformal field theories with stress energy tensor T(z)=V^1(z) whose chiral algebras include all V^l's. It is pointed out that earlier work on local extensions of the u(1) current algebra solves the problem of classifying all such theories for Virasoro central charge c=1.

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