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

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Abstract

We propose an extension of the definition of vertex algebras in arbitrary space–time dimensions together with their basic structure theory. A 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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Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy Tsarigradsko Chaussee 72, 1784, Sofia, Bulgaria

    Nikolay M. Nikolov

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  1. Nikolay M. Nikolov
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Correspondence to Nikolay M. Nikolov.

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Communicated by Y. Kawahigashi

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Nikolov, N. Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory. Commun. Math. Phys. 253, 283–322 (2005). https://doi.org/10.1007/s00220-004-1133-4

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  • DOI: https://doi.org/10.1007/s00220-004-1133-4

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