Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
arXiv:hep-th/0307235 · doi:10.1007/s00220-004-1133-4
Abstract
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.
40 pages. Corrections: changes in the Introduction; added new Remark 4.1; revised Definition 7.1, Proposition 7.1, Remark 8.1 and Proposition 8.2; totally revised Section 9, two Appendices added