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arxiv: hep-th/0307235 · v2 · submitted 2003-07-24 · ✦ hep-th · math-ph· math.MP· math.QA

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

classification ✦ hep-th math-phmath.MPmath.QA
keywords algebrastheoryvertexconformaldimensionsfieldquantumarbitrary
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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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