0 D ec 1 99 5 A QFT approach to W 1 + ∞
نویسنده
چکیده
W1+∞ 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 (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 ’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. hep-th/9512160 E-mail address: [email protected] E-mail address: [email protected] E-mail address: [email protected] On leave from the Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Tsarigradsko Chaussee 72, BG-1784 Sofia, Bulgaria.
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