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Conformal Groups and Related Symmetries Physical Results and Mathematical Background pp 387–443Cite as

Infinite dimensional lie algebras in conformal QFT models

  • VI. Infinite-Dimensional Lie Algebras
  • Conference paper
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Part of the book series: Lecture Notes in Physics ((LNP,volume 261))

Abstract

The “minimal theories” of critical behaviour in two dimensions of Belavin, Polyakov and Zamolodchikov are reviewed. Conformally invariant operator product expansions (OPEs) are written down in terms of composite quasiprimary fields.

A new version of conformal quantum field theory (QFT) on compactified Minkowski space \(\overline M = U\left( 2 \right)\) is developed. Light cone OPEs in four dimensions are shown to follow the same pattern as (2-or) 1-dimensional OPEs.

Expanded version of a talk, presented at the International Symposium on Conformal Groups and Structures, Technische Universität Clausthal, August 1985. Lectures presented at the International School for Advanced Studies in Trieste in January and at Collège de France, Paris, in February 1986.

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Authors and Affiliations

  1. International School for Advanced Studies (ISAS), Trieste, Italy

    I. T. Todorov

  2. Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

    I. T. Todorov

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  1. I. T. Todorov
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A. O. Barut H. -D. Doebner

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© 1986 Springer-Verlag

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Todorov, I.T. (1986). Infinite dimensional lie algebras in conformal QFT models. In: Barut, A.O., Doebner, H.D. (eds) Conformal Groups and Related Symmetries Physical Results and Mathematical Background. Lecture Notes in Physics, vol 261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171630_96

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  • DOI: https://doi.org/10.1007/3540171630_96

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