On axioms for a vertex algebra and the locality of quantum fields

Details On axioms for a vertex algebra and the locality of quantum fields On axioms for a vertex algebra and the locality of quantum fields

1997-06-16

arxiv.org/abs/hep-th/9706118v1

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, no figures, Latex2e files using amsmath,amssymb,amsthm,amscd packages

Scientific paper

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.

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