Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory

Details Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory

2003-07-24

arxiv.org/abs/hep-th/0307235v2

Commun.Math.Phys. 253 (2004) 283-322

Physics

High Energy Physics

High Energy Physics - Theory

40 pages. Corrections: changes in the Introduction; added new Remark 4.1; revised Definition 7.1, Proposition 7.1, Remark 8.1

Scientific paper

10.1007/s00220-004-1133-4

We propose an extension of the definition of vertex algebras in arbitrary
space-time dimensions together with their basic structure theory. An one-to-one
correspondence between these vertex algebras and axiomatic quantum field theory
(QFT) with global conformal invariance (GCI) is constructed.

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