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Zbl 1111.17014
Bakalov, Bojko; Nikolov, Nikolay M.
Jacobi identity for vertex algebras in higher dimensions. (English)
[J] J. Math. Phys. 47, No. 5, 053505, 30 p. (2006). ISSN 0022-2488; ISSN 1089-7658/e

Summary: Vertex algebras in higher dimensions, introduced previously by Nikolov, provide an algebraic framework for investigating axiomatic quantum field theory with global conformal invariance. We develop further the theory of such vertex algebras by introducing formal calculus techniques and investigating the notion of polylocal fields. We derive a Jacobi identity which together with the vacuum axiom can be taken as an equivalent definition of vertex algebra.

MSC 2000:: *17B69 Vertex operators
81R10 Repres. of infinite-dim. groups and algebras from quantum theory
81T40 Two-dimensional field theories, etc.

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