Jacobi Identity for Vertex Algebras in Higher Dimensions
arXiv:math-ph/0601012 · doi:10.1063/1.2197687
Abstract
Vertex algebras in higher dimensions 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.
35 pages, references added
References in corpus (6)
- Field Algebras
- Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
- Globally conformal invariant gauge field theory with rational correlation functions
- Partial wave expansion and Wightman positivity in conformal field theory
- Generalized Vertex Algebras
- Unitary Positive-Energy Representations of Scalar Bilocal Quantum Fields