On axioms for a vertex algebra and the locality of quantum fields
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The identities satisfied by two-dimensional chiral quantum fields are studied from the point of view of vertex algebras. The Cauchy-Jacobi identity (or the Borcherds identity) for three mutually local fields is proved and consequently a direct proof of Li's theorem on a local system of vertex operators is provided. Several characterizations of vertex algebras are also discussed.
43 pages, no figures, Latex2e files using amsmath,amssymb,amsthm,amscd packages
43 pages, no figures, Latex2e files using amsmath,amssymb,amsthm,amscd packages