A QFT approach to W_{1+infty}
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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.
15 pages, LaTeX2e, no figures. To appear in Proc. 2nd Workshop New Trends in QFT (August 1995), Razlog, Bulgaria
15 pages, LaTeX2e, no figures. To appear in Proc. 2nd Workshop New Trends in QFT (August 1995), Razlog, Bulgaria